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Finding the Fourth Proportional to 10,217.97, 15,319.17 and 5,284.46

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Solution

The fourth proportional to 10,217.97, 15,319.17 and 5,284.46 is: 7,922.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.97 : 15,319.17 = 5,284.46 : x
  2. Step 2: Convert to fraction form
    10,217.97/15,319.17 = 5,284.46/x
  3. Step 3: Cross multiply
    10,217.97x = 15,319.17 × 5,284.46
  4. Step 4: Simplify right side
    10,217.97x = 80,953,464.50
  5. Step 5: Solve for x
    x = 80,953,464.50/10,217.97
  6. Step 6: Final answer
    x = 7,922.66

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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.