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Finding the Fourth Proportional to 10,259.31, 15,372.54 and 9,275.16

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Solution

The fourth proportional to 10,259.31, 15,372.54 and 9,275.16 is: 13,897.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.31 : 15,372.54 = 9,275.16 : x
  2. Step 2: Convert to fraction form
    10,259.31/15,372.54 = 9,275.16/x
  3. Step 3: Cross multiply
    10,259.31x = 15,372.54 × 9,275.16
  4. Step 4: Simplify right side
    10,259.31x = 142,582,768.11
  5. Step 5: Solve for x
    x = 142,582,768.11/10,259.31
  6. Step 6: Final answer
    x = 13,897.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.