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Finding the Fourth Proportional to 7,902.97, 11,863.61 and 4,618.42

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Solution

The fourth proportional to 7,902.97, 11,863.61 and 4,618.42 is: 6,932.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.97 : 11,863.61 = 4,618.42 : x
  2. Step 2: Convert to fraction form
    7,902.97/11,863.61 = 4,618.42/x
  3. Step 3: Cross multiply
    7,902.97x = 11,863.61 × 4,618.42
  4. Step 4: Simplify right side
    7,902.97x = 54,791,115.58
  5. Step 5: Solve for x
    x = 54,791,115.58/7,902.97
  6. Step 6: Final answer
    x = 6,932.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.