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Finding the Fourth Proportional to 8,618.29, 11,904.97 and 6,753.46

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Solution

The fourth proportional to 8,618.29, 11,904.97 and 6,753.46 is: 9,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,618.29 : 11,904.97 = 6,753.46 : x
  2. Step 2: Convert to fraction form
    8,618.29/11,904.97 = 6,753.46/x
  3. Step 3: Cross multiply
    8,618.29x = 11,904.97 × 6,753.46
  4. Step 4: Simplify right side
    8,618.29x = 80,399,738.70
  5. Step 5: Solve for x
    x = 80,399,738.70/8,618.29
  6. Step 6: Final answer
    x = 9,328.97

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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.