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Finding the Fourth Proportional to 10,512.81, 15,773.46 and 10,346.97

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Solution

The fourth proportional to 10,512.81, 15,773.46 and 10,346.97 is: 15,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.81 : 15,773.46 = 10,346.97 : x
  2. Step 2: Convert to fraction form
    10,512.81/15,773.46 = 10,346.97/x
  3. Step 3: Cross multiply
    10,512.81x = 15,773.46 × 10,346.97
  4. Step 4: Simplify right side
    10,512.81x = 163,207,517.42
  5. Step 5: Solve for x
    x = 163,207,517.42/10,512.81
  6. Step 6: Final answer
    x = 15,524.63

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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.