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Finding the Fourth Proportional to 10,774.27, 16,098.62 and 7,951.15

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Solution

The fourth proportional to 10,774.27, 16,098.62 and 7,951.15 is: 11,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.27 : 16,098.62 = 7,951.15 : x
  2. Step 2: Convert to fraction form
    10,774.27/16,098.62 = 7,951.15/x
  3. Step 3: Cross multiply
    10,774.27x = 16,098.62 × 7,951.15
  4. Step 4: Simplify right side
    10,774.27x = 128,002,542.41
  5. Step 5: Solve for x
    x = 128,002,542.41/10,774.27
  6. Step 6: Final answer
    x = 11,880.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.