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Finding the Fourth Proportional to 6,756.80, 10,132.16 and 2,859.20

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Solution

The fourth proportional to 6,756.80, 10,132.16 and 2,859.20 is: 4,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.80 : 10,132.16 = 2,859.20 : x
  2. Step 2: Convert to fraction form
    6,756.80/10,132.16 = 2,859.20/x
  3. Step 3: Cross multiply
    6,756.80x = 10,132.16 × 2,859.20
  4. Step 4: Simplify right side
    6,756.80x = 28,969,871.87
  5. Step 5: Solve for x
    x = 28,969,871.87/6,756.80
  6. Step 6: Final answer
    x = 4,287.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.