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Finding the Fourth Proportional to 11,379,976.64, 15,705,805.76 and 7,463,028.48

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Solution

The fourth proportional to 11,379,976.64, 15,705,805.76 and 7,463,028.48 is: 10,299,922.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,379,976.64 : 15,705,805.76 = 7,463,028.48 : x
  2. Step 2: Convert to fraction form
    11,379,976.64/15,705,805.76 = 7,463,028.48/x
  3. Step 3: Cross multiply
    11,379,976.64x = 15,705,805.76 × 7,463,028.48
  4. Step 4: Simplify right side
    11,379,976.64x = 117,212,875,688,228.05
  5. Step 5: Solve for x
    x = 117,212,875,688,228.05/11,379,976.64
  6. Step 6: Final answer
    x = 10,299,922.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.