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Finding the Fourth Proportional to 8,329.92, 12,494.88 and 3,402.24

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Solution

The fourth proportional to 8,329.92, 12,494.88 and 3,402.24 is: 5,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.92 : 12,494.88 = 3,402.24 : x
  2. Step 2: Convert to fraction form
    8,329.92/12,494.88 = 3,402.24/x
  3. Step 3: Cross multiply
    8,329.92x = 12,494.88 × 3,402.24
  4. Step 4: Simplify right side
    8,329.92x = 42,510,580.53
  5. Step 5: Solve for x
    x = 42,510,580.53/8,329.92
  6. Step 6: Final answer
    x = 5,103.36

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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.