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Finding the Fourth Proportional to 11,711.78, 16,162.64 and 6,406.47

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Solution

The fourth proportional to 11,711.78, 16,162.64 and 6,406.47 is: 8,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.78 : 16,162.64 = 6,406.47 : x
  2. Step 2: Convert to fraction form
    11,711.78/16,162.64 = 6,406.47/x
  3. Step 3: Cross multiply
    11,711.78x = 16,162.64 × 6,406.47
  4. Step 4: Simplify right side
    11,711.78x = 103,545,436.25
  5. Step 5: Solve for x
    x = 103,545,436.25/11,711.78
  6. Step 6: Final answer
    x = 8,841.14

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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.