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Finding the Fourth Proportional to 10,836.42, 16,254.63 and 4,265.70

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Solution

The fourth proportional to 10,836.42, 16,254.63 and 4,265.70 is: 6,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836.42 : 16,254.63 = 4,265.70 : x
  2. Step 2: Convert to fraction form
    10,836.42/16,254.63 = 4,265.70/x
  3. Step 3: Cross multiply
    10,836.42x = 16,254.63 × 4,265.70
  4. Step 4: Simplify right side
    10,836.42x = 69,337,375.19
  5. Step 5: Solve for x
    x = 69,337,375.19/10,836.42
  6. Step 6: Final answer
    x = 6,398.55

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Why These Related Problems?

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