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Finding the Fourth Proportional to 6,882.88, 10,317.84 and 3,416.80

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Solution

The fourth proportional to 6,882.88, 10,317.84 and 3,416.80 is: 5,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.88 : 10,317.84 = 3,416.80 : x
  2. Step 2: Convert to fraction form
    6,882.88/10,317.84 = 3,416.80/x
  3. Step 3: Cross multiply
    6,882.88x = 10,317.84 × 3,416.80
  4. Step 4: Simplify right side
    6,882.88x = 35,253,995.71
  5. Step 5: Solve for x
    x = 35,253,995.71/6,882.88
  6. Step 6: Final answer
    x = 5,121.98

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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.