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Finding the Fourth Proportional to 8,389, 12,584.76 and 2,545.48

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Solution

The fourth proportional to 8,389, 12,584.76 and 2,545.48 is: 3,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389 : 12,584.76 = 2,545.48 : x
  2. Step 2: Convert to fraction form
    8,389/12,584.76 = 2,545.48/x
  3. Step 3: Cross multiply
    8,389x = 12,584.76 × 2,545.48
  4. Step 4: Simplify right side
    8,389x = 32,034,254.88
  5. Step 5: Solve for x
    x = 32,034,254.88/8,389
  6. Step 6: Final answer
    x = 3,818.60

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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.