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Finding the Fourth Proportional to 8,642.13, 12,963.21 and 5,861.91

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Solution

The fourth proportional to 8,642.13, 12,963.21 and 5,861.91 is: 8,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.13 : 12,963.21 = 5,861.91 : x
  2. Step 2: Convert to fraction form
    8,642.13/12,963.21 = 5,861.91/x
  3. Step 3: Cross multiply
    8,642.13x = 12,963.21 × 5,861.91
  4. Step 4: Simplify right side
    8,642.13x = 75,989,170.33
  5. Step 5: Solve for x
    x = 75,989,170.33/8,642.13
  6. Step 6: Final answer
    x = 8,792.88

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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.