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Finding the Fourth Proportional to 10,381.65, 15,572.74 and 3,361.92

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Solution

The fourth proportional to 10,381.65, 15,572.74 and 3,361.92 is: 5,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.65 : 15,572.74 = 3,361.92 : x
  2. Step 2: Convert to fraction form
    10,381.65/15,572.74 = 3,361.92/x
  3. Step 3: Cross multiply
    10,381.65x = 15,572.74 × 3,361.92
  4. Step 4: Simplify right side
    10,381.65x = 52,354,228.20
  5. Step 5: Solve for x
    x = 52,354,228.20/10,381.65
  6. Step 6: Final answer
    x = 5,042.96

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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.