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Finding the Fourth Proportional to 11,305.20, 15,607.44 and 7,533.48

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Solution

The fourth proportional to 11,305.20, 15,607.44 and 7,533.48 is: 10,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.20 : 15,607.44 = 7,533.48 : x
  2. Step 2: Convert to fraction form
    11,305.20/15,607.44 = 7,533.48/x
  3. Step 3: Cross multiply
    11,305.20x = 15,607.44 × 7,533.48
  4. Step 4: Simplify right side
    11,305.20x = 117,578,337.09
  5. Step 5: Solve for x
    x = 117,578,337.09/11,305.20
  6. Step 6: Final answer
    x = 10,400.38

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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.