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Finding the Fourth Proportional to 11,641.32, 16,064.80 and 6,336.24

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Solution

The fourth proportional to 11,641.32, 16,064.80 and 6,336.24 is: 8,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.32 : 16,064.80 = 6,336.24 : x
  2. Step 2: Convert to fraction form
    11,641.32/16,064.80 = 6,336.24/x
  3. Step 3: Cross multiply
    11,641.32x = 16,064.80 × 6,336.24
  4. Step 4: Simplify right side
    11,641.32x = 101,790,428.35
  5. Step 5: Solve for x
    x = 101,790,428.35/11,641.32
  6. Step 6: Final answer
    x = 8,743.89

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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.