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Finding the Fourth Proportional to 11,899.92, 16,421.61 and 6,864.15

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Solution

The fourth proportional to 11,899.92, 16,421.61 and 6,864.15 is: 9,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.92 : 16,421.61 = 6,864.15 : x
  2. Step 2: Convert to fraction form
    11,899.92/16,421.61 = 6,864.15/x
  3. Step 3: Cross multiply
    11,899.92x = 16,421.61 × 6,864.15
  4. Step 4: Simplify right side
    11,899.92x = 112,720,394.28
  5. Step 5: Solve for x
    x = 112,720,394.28/11,899.92
  6. Step 6: Final answer
    x = 9,472.37

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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.