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Finding the Fourth Proportional to 11,920.15, 16,451.76 and 6,616.68

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Solution

The fourth proportional to 11,920.15, 16,451.76 and 6,616.68 is: 9,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.15 : 16,451.76 = 6,616.68 : x
  2. Step 2: Convert to fraction form
    11,920.15/16,451.76 = 6,616.68/x
  3. Step 3: Cross multiply
    11,920.15x = 16,451.76 × 6,616.68
  4. Step 4: Simplify right side
    11,920.15x = 108,856,031.36
  5. Step 5: Solve for x
    x = 108,856,031.36/11,920.15
  6. Step 6: Final answer
    x = 9,132.10

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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.