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Finding the Fourth Proportional to 10,414.46, 15,585.35 and 8,518.43

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Solution

The fourth proportional to 10,414.46, 15,585.35 and 8,518.43 is: 12,747.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.46 : 15,585.35 = 8,518.43 : x
  2. Step 2: Convert to fraction form
    10,414.46/15,585.35 = 8,518.43/x
  3. Step 3: Cross multiply
    10,414.46x = 15,585.35 × 8,518.43
  4. Step 4: Simplify right side
    10,414.46x = 132,762,709.37
  5. Step 5: Solve for x
    x = 132,762,709.37/10,414.46
  6. Step 6: Final answer
    x = 12,747.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.