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Finding the Fourth Proportional to 11,414.59, 15,748.63 and 6,378.14

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Solution

The fourth proportional to 11,414.59, 15,748.63 and 6,378.14 is: 8,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.59 : 15,748.63 = 6,378.14 : x
  2. Step 2: Convert to fraction form
    11,414.59/15,748.63 = 6,378.14/x
  3. Step 3: Cross multiply
    11,414.59x = 15,748.63 × 6,378.14
  4. Step 4: Simplify right side
    11,414.59x = 100,446,990.37
  5. Step 5: Solve for x
    x = 100,446,990.37/11,414.59
  6. Step 6: Final answer
    x = 8,799.88

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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.