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Finding the Fourth Proportional to 10,287.56, 15,425.40 and 9,057.44

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Solution

The fourth proportional to 10,287.56, 15,425.40 and 9,057.44 is: 13,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.56 : 15,425.40 = 9,057.44 : x
  2. Step 2: Convert to fraction form
    10,287.56/15,425.40 = 9,057.44/x
  3. Step 3: Cross multiply
    10,287.56x = 15,425.40 × 9,057.44
  4. Step 4: Simplify right side
    10,287.56x = 139,714,634.98
  5. Step 5: Solve for x
    x = 139,714,634.98/10,287.56
  6. Step 6: Final answer
    x = 13,580.93

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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.