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Finding the Fourth Proportional to 10,107, 15,161.04 and 3,182.04

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Solution

The fourth proportional to 10,107, 15,161.04 and 3,182.04 is: 4,773.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107 : 15,161.04 = 3,182.04 : x
  2. Step 2: Convert to fraction form
    10,107/15,161.04 = 3,182.04/x
  3. Step 3: Cross multiply
    10,107x = 15,161.04 × 3,182.04
  4. Step 4: Simplify right side
    10,107x = 48,243,035.72
  5. Step 5: Solve for x
    x = 48,243,035.72/10,107
  6. Step 6: Final answer
    x = 4,773.23

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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.