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Finding the Fourth Proportional to 10,411.80, 15,617.70 and 3,391.80

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Solution

The fourth proportional to 10,411.80, 15,617.70 and 3,391.80 is: 5,087.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411.80 : 15,617.70 = 3,391.80 : x
  2. Step 2: Convert to fraction form
    10,411.80/15,617.70 = 3,391.80/x
  3. Step 3: Cross multiply
    10,411.80x = 15,617.70 × 3,391.80
  4. Step 4: Simplify right side
    10,411.80x = 52,972,114.86
  5. Step 5: Solve for x
    x = 52,972,114.86/10,411.80
  6. Step 6: Final answer
    x = 5,087.70

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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.