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Finding the Fourth Proportional to 8,498.38, 11,729.04 and 6,116.24

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Solution

The fourth proportional to 8,498.38, 11,729.04 and 6,116.24 is: 8,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.38 : 11,729.04 = 6,116.24 : x
  2. Step 2: Convert to fraction form
    8,498.38/11,729.04 = 6,116.24/x
  3. Step 3: Cross multiply
    8,498.38x = 11,729.04 × 6,116.24
  4. Step 4: Simplify right side
    8,498.38x = 71,737,623.61
  5. Step 5: Solve for x
    x = 71,737,623.61/8,498.38
  6. Step 6: Final answer
    x = 8,441.33

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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.