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Finding the Fourth Proportional to 11,641.34, 16,065.08 and 6,336.14

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Solution

The fourth proportional to 11,641.34, 16,065.08 and 6,336.14 is: 8,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.34 : 16,065.08 = 6,336.14 : x
  2. Step 2: Convert to fraction form
    11,641.34/16,065.08 = 6,336.14/x
  3. Step 3: Cross multiply
    11,641.34x = 16,065.08 × 6,336.14
  4. Step 4: Simplify right side
    11,641.34x = 101,790,633.75
  5. Step 5: Solve for x
    x = 101,790,633.75/11,641.34
  6. Step 6: Final answer
    x = 8,743.90

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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.