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Finding the Fourth Proportional to 10,497.68, 15,747.24 and 3,923.72

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Solution

The fourth proportional to 10,497.68, 15,747.24 and 3,923.72 is: 5,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.68 : 15,747.24 = 3,923.72 : x
  2. Step 2: Convert to fraction form
    10,497.68/15,747.24 = 3,923.72/x
  3. Step 3: Cross multiply
    10,497.68x = 15,747.24 × 3,923.72
  4. Step 4: Simplify right side
    10,497.68x = 61,787,760.53
  5. Step 5: Solve for x
    x = 61,787,760.53/10,497.68
  6. Step 6: Final answer
    x = 5,885.85

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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.