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Finding the Fourth Proportional to 11,463.88, 15,819.24 and 6,427.42

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Solution

The fourth proportional to 11,463.88, 15,819.24 and 6,427.42 is: 8,869.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.88 : 15,819.24 = 6,427.42 : x
  2. Step 2: Convert to fraction form
    11,463.88/15,819.24 = 6,427.42/x
  3. Step 3: Cross multiply
    11,463.88x = 15,819.24 × 6,427.42
  4. Step 4: Simplify right side
    11,463.88x = 101,676,899.56
  5. Step 5: Solve for x
    x = 101,676,899.56/11,463.88
  6. Step 6: Final answer
    x = 8,869.33

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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.