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Finding the Fourth Proportional to 11,691.39, 16,133.86 and 6,386.23

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Solution

The fourth proportional to 11,691.39, 16,133.86 and 6,386.23 is: 8,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.39 : 16,133.86 = 6,386.23 : x
  2. Step 2: Convert to fraction form
    11,691.39/16,133.86 = 6,386.23/x
  3. Step 3: Cross multiply
    11,691.39x = 16,133.86 × 6,386.23
  4. Step 4: Simplify right side
    11,691.39x = 103,034,568.90
  5. Step 5: Solve for x
    x = 103,034,568.90/11,691.39
  6. Step 6: Final answer
    x = 8,812.86

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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.