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Finding the Fourth Proportional to 10,902.48, 16,350.48 and 3,977.52

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Solution

The fourth proportional to 10,902.48, 16,350.48 and 3,977.52 is: 5,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.48 : 16,350.48 = 3,977.52 : x
  2. Step 2: Convert to fraction form
    10,902.48/16,350.48 = 3,977.52/x
  3. Step 3: Cross multiply
    10,902.48x = 16,350.48 × 3,977.52
  4. Step 4: Simplify right side
    10,902.48x = 65,034,361.21
  5. Step 5: Solve for x
    x = 65,034,361.21/10,902.48
  6. Step 6: Final answer
    x = 5,965.10

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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.