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Finding the Fourth Proportional to 6,876.33, 10,318.16 and 4,108.42

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Solution

The fourth proportional to 6,876.33, 10,318.16 and 4,108.42 is: 6,164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.33 : 10,318.16 = 4,108.42 : x
  2. Step 2: Convert to fraction form
    6,876.33/10,318.16 = 4,108.42/x
  3. Step 3: Cross multiply
    6,876.33x = 10,318.16 × 4,108.42
  4. Step 4: Simplify right side
    6,876.33x = 42,391,334.91
  5. Step 5: Solve for x
    x = 42,391,334.91/6,876.33
  6. Step 6: Final answer
    x = 6,164.82

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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.