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Finding the Fourth Proportional to 11,305.48, 15,611.70 and 7,333

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Solution

The fourth proportional to 11,305.48, 15,611.70 and 7,333 is: 10,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.48 : 15,611.70 = 7,333 : x
  2. Step 2: Convert to fraction form
    11,305.48/15,611.70 = 7,333/x
  3. Step 3: Cross multiply
    11,305.48x = 15,611.70 × 7,333
  4. Step 4: Simplify right side
    11,305.48x = 114,480,596.10
  5. Step 5: Solve for x
    x = 114,480,596.10/11,305.48
  6. Step 6: Final answer
    x = 10,126.12

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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.