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Finding the Fourth Proportional to 7,169.80, 10,740.31 and 3,659.66

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Solution

The fourth proportional to 7,169.80, 10,740.31 and 3,659.66 is: 5,482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.80 : 10,740.31 = 3,659.66 : x
  2. Step 2: Convert to fraction form
    7,169.80/10,740.31 = 3,659.66/x
  3. Step 3: Cross multiply
    7,169.80x = 10,740.31 × 3,659.66
  4. Step 4: Simplify right side
    7,169.80x = 39,305,882.89
  5. Step 5: Solve for x
    x = 39,305,882.89/7,169.80
  6. Step 6: Final answer
    x = 5,482.14

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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.