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Finding the Fourth Proportional to 11,512.14, 15,885.72 and 6,474.76

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Solution

The fourth proportional to 11,512.14, 15,885.72 and 6,474.76 is: 8,934.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.14 : 15,885.72 = 6,474.76 : x
  2. Step 2: Convert to fraction form
    11,512.14/15,885.72 = 6,474.76/x
  3. Step 3: Cross multiply
    11,512.14x = 15,885.72 × 6,474.76
  4. Step 4: Simplify right side
    11,512.14x = 102,856,224.43
  5. Step 5: Solve for x
    x = 102,856,224.43/11,512.14
  6. Step 6: Final answer
    x = 8,934.59

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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.