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Finding the Fourth Proportional to 11,711.62, 16,162.28 and 6,406.78

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Solution

The fourth proportional to 11,711.62, 16,162.28 and 6,406.78 is: 8,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.62 : 16,162.28 = 6,406.78 : x
  2. Step 2: Convert to fraction form
    11,711.62/16,162.28 = 6,406.78/x
  3. Step 3: Cross multiply
    11,711.62x = 16,162.28 × 6,406.78
  4. Step 4: Simplify right side
    11,711.62x = 103,548,172.26
  5. Step 5: Solve for x
    x = 103,548,172.26/11,711.62
  6. Step 6: Final answer
    x = 8,841.49

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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.