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Finding the Fourth Proportional to 10,099.12, 15,151.92 and 6,404.44

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Solution

The fourth proportional to 10,099.12, 15,151.92 and 6,404.44 is: 9,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.12 : 15,151.92 = 6,404.44 : x
  2. Step 2: Convert to fraction form
    10,099.12/15,151.92 = 6,404.44/x
  3. Step 3: Cross multiply
    10,099.12x = 15,151.92 × 6,404.44
  4. Step 4: Simplify right side
    10,099.12x = 97,039,562.52
  5. Step 5: Solve for x
    x = 97,039,562.52/10,099.12
  6. Step 6: Final answer
    x = 9,608.71

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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.