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Finding the Fourth Proportional to 11,159.32, 16,751.28 and 6,484.61

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Solution

The fourth proportional to 11,159.32, 16,751.28 and 6,484.61 is: 9,734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.32 : 16,751.28 = 6,484.61 : x
  2. Step 2: Convert to fraction form
    11,159.32/16,751.28 = 6,484.61/x
  3. Step 3: Cross multiply
    11,159.32x = 16,751.28 × 6,484.61
  4. Step 4: Simplify right side
    11,159.32x = 108,625,517.80
  5. Step 5: Solve for x
    x = 108,625,517.80/11,159.32
  6. Step 6: Final answer
    x = 9,734.06

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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.