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Finding the Fourth Proportional to 8,263.76, 12,397.01 and 2,715.88

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Solution

The fourth proportional to 8,263.76, 12,397.01 and 2,715.88 is: 4,074.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.76 : 12,397.01 = 2,715.88 : x
  2. Step 2: Convert to fraction form
    8,263.76/12,397.01 = 2,715.88/x
  3. Step 3: Cross multiply
    8,263.76x = 12,397.01 × 2,715.88
  4. Step 4: Simplify right side
    8,263.76x = 33,668,791.52
  5. Step 5: Solve for x
    x = 33,668,791.52/8,263.76
  6. Step 6: Final answer
    x = 4,074.27

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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.