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Finding the Fourth Proportional to 10,842.78, 16,265.97 and 4,265.46

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Solution

The fourth proportional to 10,842.78, 16,265.97 and 4,265.46 is: 6,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.78 : 16,265.97 = 4,265.46 : x
  2. Step 2: Convert to fraction form
    10,842.78/16,265.97 = 4,265.46/x
  3. Step 3: Cross multiply
    10,842.78x = 16,265.97 × 4,265.46
  4. Step 4: Simplify right side
    10,842.78x = 69,381,844.40
  5. Step 5: Solve for x
    x = 69,381,844.40/10,842.78
  6. Step 6: Final answer
    x = 6,398.90

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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.