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Finding the Fourth Proportional to 11,470.26, 15,818.88 and 8,282.73

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Solution

The fourth proportional to 11,470.26, 15,818.88 and 8,282.73 is: 11,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.26 : 15,818.88 = 8,282.73 : x
  2. Step 2: Convert to fraction form
    11,470.26/15,818.88 = 8,282.73/x
  3. Step 3: Cross multiply
    11,470.26x = 15,818.88 × 8,282.73
  4. Step 4: Simplify right side
    11,470.26x = 131,023,511.94
  5. Step 5: Solve for x
    x = 131,023,511.94/11,470.26
  6. Step 6: Final answer
    x = 11,422.89

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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.