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Finding the Fourth Proportional to 8,617.11, 12,839.00 and 8,051.24

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Solution

The fourth proportional to 8,617.11, 12,839.00 and 8,051.24 is: 11,995.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.11 : 12,839.00 = 8,051.24 : x
  2. Step 2: Convert to fraction form
    8,617.11/12,839.00 = 8,051.24/x
  3. Step 3: Cross multiply
    8,617.11x = 12,839.00 × 8,051.24
  4. Step 4: Simplify right side
    8,617.11x = 103,369,765.91
  5. Step 5: Solve for x
    x = 103,369,765.91/8,617.11
  6. Step 6: Final answer
    x = 11,995.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.