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Finding the Fourth Proportional to 11,159.47, 15,400.13 and 6,443.75

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Solution

The fourth proportional to 11,159.47, 15,400.13 and 6,443.75 is: 8,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.47 : 15,400.13 = 6,443.75 : x
  2. Step 2: Convert to fraction form
    11,159.47/15,400.13 = 6,443.75/x
  3. Step 3: Cross multiply
    11,159.47x = 15,400.13 × 6,443.75
  4. Step 4: Simplify right side
    11,159.47x = 99,234,593.97
  5. Step 5: Solve for x
    x = 99,234,593.97/11,159.47
  6. Step 6: Final answer
    x = 8,892.41

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