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Finding the Fourth Proportional to 10,077.43, 15,104.39 and 7,405.15

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Solution

The fourth proportional to 10,077.43, 15,104.39 and 7,405.15 is: 11,099.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.43 : 15,104.39 = 7,405.15 : x
  2. Step 2: Convert to fraction form
    10,077.43/15,104.39 = 7,405.15/x
  3. Step 3: Cross multiply
    10,077.43x = 15,104.39 × 7,405.15
  4. Step 4: Simplify right side
    10,077.43x = 111,850,273.61
  5. Step 5: Solve for x
    x = 111,850,273.61/10,077.43
  6. Step 6: Final answer
    x = 11,099.09

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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.