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Finding the Fourth Proportional to 8,716.65, 13,074.80 and 2,142.59

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Solution

The fourth proportional to 8,716.65, 13,074.80 and 2,142.59 is: 3,213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716.65 : 13,074.80 = 2,142.59 : x
  2. Step 2: Convert to fraction form
    8,716.65/13,074.80 = 2,142.59/x
  3. Step 3: Cross multiply
    8,716.65x = 13,074.80 × 2,142.59
  4. Step 4: Simplify right side
    8,716.65x = 28,013,859.65
  5. Step 5: Solve for x
    x = 28,013,859.65/8,716.65
  6. Step 6: Final answer
    x = 3,213.83

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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.