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Finding the Fourth Proportional to 7,862.85, 11,778.45 and 3,640.15

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Solution

The fourth proportional to 7,862.85, 11,778.45 and 3,640.15 is: 5,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.85 : 11,778.45 = 3,640.15 : x
  2. Step 2: Convert to fraction form
    7,862.85/11,778.45 = 3,640.15/x
  3. Step 3: Cross multiply
    7,862.85x = 11,778.45 × 3,640.15
  4. Step 4: Simplify right side
    7,862.85x = 42,875,306.57
  5. Step 5: Solve for x
    x = 42,875,306.57/7,862.85
  6. Step 6: Final answer
    x = 5,452.90

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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.