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Finding the Fourth Proportional to 8,002.25, 12,002.92 and 2,455.58

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Solution

The fourth proportional to 8,002.25, 12,002.92 and 2,455.58 is: 3,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.25 : 12,002.92 = 2,455.58 : x
  2. Step 2: Convert to fraction form
    8,002.25/12,002.92 = 2,455.58/x
  3. Step 3: Cross multiply
    8,002.25x = 12,002.92 × 2,455.58
  4. Step 4: Simplify right side
    8,002.25x = 29,474,113.76
  5. Step 5: Solve for x
    x = 29,474,113.76/8,002.25
  6. Step 6: Final answer
    x = 3,683.23

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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.