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Finding the Fourth Proportional to 8,474.73, 11,691.19 and 5,285.96

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Solution

The fourth proportional to 8,474.73, 11,691.19 and 5,285.96 is: 7,292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.73 : 11,691.19 = 5,285.96 : x
  2. Step 2: Convert to fraction form
    8,474.73/11,691.19 = 5,285.96/x
  3. Step 3: Cross multiply
    8,474.73x = 11,691.19 × 5,285.96
  4. Step 4: Simplify right side
    8,474.73x = 61,799,124.95
  5. Step 5: Solve for x
    x = 61,799,124.95/8,474.73
  6. Step 6: Final answer
    x = 7,292.17

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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.