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Finding the Fourth Proportional to 11,419.38, 15,770.70 and 10,182.78

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Solution

The fourth proportional to 11,419.38, 15,770.70 and 10,182.78 is: 14,062.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.38 : 15,770.70 = 10,182.78 : x
  2. Step 2: Convert to fraction form
    11,419.38/15,770.70 = 10,182.78/x
  3. Step 3: Cross multiply
    11,419.38x = 15,770.70 × 10,182.78
  4. Step 4: Simplify right side
    11,419.38x = 160,589,568.55
  5. Step 5: Solve for x
    x = 160,589,568.55/11,419.38
  6. Step 6: Final answer
    x = 14,062.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.