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Finding the Fourth Proportional to 8,534.67, 12,800.39 and 2,689.71

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Solution

The fourth proportional to 8,534.67, 12,800.39 and 2,689.71 is: 4,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.67 : 12,800.39 = 2,689.71 : x
  2. Step 2: Convert to fraction form
    8,534.67/12,800.39 = 2,689.71/x
  3. Step 3: Cross multiply
    8,534.67x = 12,800.39 × 2,689.71
  4. Step 4: Simplify right side
    8,534.67x = 34,429,323.54
  5. Step 5: Solve for x
    x = 34,429,323.54/8,534.67
  6. Step 6: Final answer
    x = 4,034.05

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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.