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Finding the Fourth Proportional to 10,099.68, 15,141.84 and 7,177.44

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Solution

The fourth proportional to 10,099.68, 15,141.84 and 7,177.44 is: 10,760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.68 : 15,141.84 = 7,177.44 : x
  2. Step 2: Convert to fraction form
    10,099.68/15,141.84 = 7,177.44/x
  3. Step 3: Cross multiply
    10,099.68x = 15,141.84 × 7,177.44
  4. Step 4: Simplify right side
    10,099.68x = 108,679,648.09
  5. Step 5: Solve for x
    x = 108,679,648.09/10,099.68
  6. Step 6: Final answer
    x = 10,760.70

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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.