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Finding the Fourth Proportional to 8,411.01, 12,618.17 and 2,488

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Solution

The fourth proportional to 8,411.01, 12,618.17 and 2,488 is: 3,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.01 : 12,618.17 = 2,488 : x
  2. Step 2: Convert to fraction form
    8,411.01/12,618.17 = 2,488/x
  3. Step 3: Cross multiply
    8,411.01x = 12,618.17 × 2,488
  4. Step 4: Simplify right side
    8,411.01x = 31,394,006.96
  5. Step 5: Solve for x
    x = 31,394,006.96/8,411.01
  6. Step 6: Final answer
    x = 3,732.49

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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.