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Finding the Fourth Proportional to 8,158.97, 11,261.18 and 4,624.13

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Solution

The fourth proportional to 8,158.97, 11,261.18 and 4,624.13 is: 6,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.97 : 11,261.18 = 4,624.13 : x
  2. Step 2: Convert to fraction form
    8,158.97/11,261.18 = 4,624.13/x
  3. Step 3: Cross multiply
    8,158.97x = 11,261.18 × 4,624.13
  4. Step 4: Simplify right side
    8,158.97x = 52,073,115.53
  5. Step 5: Solve for x
    x = 52,073,115.53/8,158.97
  6. Step 6: Final answer
    x = 6,382.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.