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Finding the Fourth Proportional to 10,367.70, 15,527.88 and 8,141.46

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Solution

The fourth proportional to 10,367.70, 15,527.88 and 8,141.46 is: 12,193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.70 : 15,527.88 = 8,141.46 : x
  2. Step 2: Convert to fraction form
    10,367.70/15,527.88 = 8,141.46/x
  3. Step 3: Cross multiply
    10,367.70x = 15,527.88 × 8,141.46
  4. Step 4: Simplify right side
    10,367.70x = 126,419,613.90
  5. Step 5: Solve for x
    x = 126,419,613.90/10,367.70
  6. Step 6: Final answer
    x = 12,193.60

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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.