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Finding the Fourth Proportional to 8,140.52, 12,215.82 and 3,758.60

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Solution

The fourth proportional to 8,140.52, 12,215.82 and 3,758.60 is: 5,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.52 : 12,215.82 = 3,758.60 : x
  2. Step 2: Convert to fraction form
    8,140.52/12,215.82 = 3,758.60/x
  3. Step 3: Cross multiply
    8,140.52x = 12,215.82 × 3,758.60
  4. Step 4: Simplify right side
    8,140.52x = 45,914,381.05
  5. Step 5: Solve for x
    x = 45,914,381.05/8,140.52
  6. Step 6: Final answer
    x = 5,640.23

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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.