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Finding the Fourth Proportional to 11,641.29, 16,064.98 and 6,336.15

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Solution

The fourth proportional to 11,641.29, 16,064.98 and 6,336.15 is: 8,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.29 : 16,064.98 = 6,336.15 : x
  2. Step 2: Convert to fraction form
    11,641.29/16,064.98 = 6,336.15/x
  3. Step 3: Cross multiply
    11,641.29x = 16,064.98 × 6,336.15
  4. Step 4: Simplify right side
    11,641.29x = 101,790,046.94
  5. Step 5: Solve for x
    x = 101,790,046.94/11,641.29
  6. Step 6: Final answer
    x = 8,743.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.