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Finding the Fourth Proportional to 8,716.26, 13,074.28 and 2,142.50

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Solution

The fourth proportional to 8,716.26, 13,074.28 and 2,142.50 is: 3,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716.26 : 13,074.28 = 2,142.50 : x
  2. Step 2: Convert to fraction form
    8,716.26/13,074.28 = 2,142.50/x
  3. Step 3: Cross multiply
    8,716.26x = 13,074.28 × 2,142.50
  4. Step 4: Simplify right side
    8,716.26x = 28,011,644.90
  5. Step 5: Solve for x
    x = 28,011,644.90/8,716.26
  6. Step 6: Final answer
    x = 3,213.72

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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.