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Finding the Fourth Proportional to 8,425.50, 12,638.66 and 2,582.97

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Solution

The fourth proportional to 8,425.50, 12,638.66 and 2,582.97 is: 3,874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.50 : 12,638.66 = 2,582.97 : x
  2. Step 2: Convert to fraction form
    8,425.50/12,638.66 = 2,582.97/x
  3. Step 3: Cross multiply
    8,425.50x = 12,638.66 × 2,582.97
  4. Step 4: Simplify right side
    8,425.50x = 32,645,266.71
  5. Step 5: Solve for x
    x = 32,645,266.71/8,425.50
  6. Step 6: Final answer
    x = 3,874.58

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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.