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Finding the Fourth Proportional to 8,232.47, 12,349.92 and 2,388.32

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Solution

The fourth proportional to 8,232.47, 12,349.92 and 2,388.32 is: 3,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.47 : 12,349.92 = 2,388.32 : x
  2. Step 2: Convert to fraction form
    8,232.47/12,349.92 = 2,388.32/x
  3. Step 3: Cross multiply
    8,232.47x = 12,349.92 × 2,388.32
  4. Step 4: Simplify right side
    8,232.47x = 29,495,560.93
  5. Step 5: Solve for x
    x = 29,495,560.93/8,232.47
  6. Step 6: Final answer
    x = 3,582.83

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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.