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Finding the Fourth Proportional to 10,429.66, 15,635.13 and 7,793.92

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Solution

The fourth proportional to 10,429.66, 15,635.13 and 7,793.92 is: 11,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.66 : 15,635.13 = 7,793.92 : x
  2. Step 2: Convert to fraction form
    10,429.66/15,635.13 = 7,793.92/x
  3. Step 3: Cross multiply
    10,429.66x = 15,635.13 × 7,793.92
  4. Step 4: Simplify right side
    10,429.66x = 121,858,952.41
  5. Step 5: Solve for x
    x = 121,858,952.41/10,429.66
  6. Step 6: Final answer
    x = 11,683.89

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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.