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Finding the Fourth Proportional to 8,002.68, 12,005.18 and 2,455.20

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Solution

The fourth proportional to 8,002.68, 12,005.18 and 2,455.20 is: 3,683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.68 : 12,005.18 = 2,455.20 : x
  2. Step 2: Convert to fraction form
    8,002.68/12,005.18 = 2,455.20/x
  3. Step 3: Cross multiply
    8,002.68x = 12,005.18 × 2,455.20
  4. Step 4: Simplify right side
    8,002.68x = 29,475,105.66
  5. Step 5: Solve for x
    x = 29,475,105.66/8,002.68
  6. Step 6: Final answer
    x = 3,683.15

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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.