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Finding the Fourth Proportional to 10,132.89, 15,201.58 and 3,892.90

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Solution

The fourth proportional to 10,132.89, 15,201.58 and 3,892.90 is: 5,840.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.89 : 15,201.58 = 3,892.90 : x
  2. Step 2: Convert to fraction form
    10,132.89/15,201.58 = 3,892.90/x
  3. Step 3: Cross multiply
    10,132.89x = 15,201.58 × 3,892.90
  4. Step 4: Simplify right side
    10,132.89x = 59,178,230.78
  5. Step 5: Solve for x
    x = 59,178,230.78/10,132.89
  6. Step 6: Final answer
    x = 5,840.21

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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.