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Finding the Fourth Proportional to 11,414.49, 15,747.66 and 8,437.47

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Solution

The fourth proportional to 11,414.49, 15,747.66 and 8,437.47 is: 11,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.49 : 15,747.66 = 8,437.47 : x
  2. Step 2: Convert to fraction form
    11,414.49/15,747.66 = 8,437.47/x
  3. Step 3: Cross multiply
    11,414.49x = 15,747.66 × 8,437.47
  4. Step 4: Simplify right side
    11,414.49x = 132,870,408.82
  5. Step 5: Solve for x
    x = 132,870,408.82/11,414.49
  6. Step 6: Final answer
    x = 11,640.50

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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.