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Finding the Fourth Proportional to 8,301.80, 12,445.92 and 3,862.24

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Solution

The fourth proportional to 8,301.80, 12,445.92 and 3,862.24 is: 5,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.80 : 12,445.92 = 3,862.24 : x
  2. Step 2: Convert to fraction form
    8,301.80/12,445.92 = 3,862.24/x
  3. Step 3: Cross multiply
    8,301.80x = 12,445.92 × 3,862.24
  4. Step 4: Simplify right side
    8,301.80x = 48,069,098.95
  5. Step 5: Solve for x
    x = 48,069,098.95/8,301.80
  6. Step 6: Final answer
    x = 5,790.20

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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.