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Finding the Fourth Proportional to 11,177.46, 16,766.18 and 7,306.47

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Solution

The fourth proportional to 11,177.46, 16,766.18 and 7,306.47 is: 10,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,177.46 : 16,766.18 = 7,306.47 : x
  2. Step 2: Convert to fraction form
    11,177.46/16,766.18 = 7,306.47/x
  3. Step 3: Cross multiply
    11,177.46x = 16,766.18 × 7,306.47
  4. Step 4: Simplify right side
    11,177.46x = 122,501,591.18
  5. Step 5: Solve for x
    x = 122,501,591.18/11,177.46
  6. Step 6: Final answer
    x = 10,959.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.