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Finding the Fourth Proportional to 8,388.50, 12,584.19 and 2,545.70

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Solution

The fourth proportional to 8,388.50, 12,584.19 and 2,545.70 is: 3,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388.50 : 12,584.19 = 2,545.70 : x
  2. Step 2: Convert to fraction form
    8,388.50/12,584.19 = 2,545.70/x
  3. Step 3: Cross multiply
    8,388.50x = 12,584.19 × 2,545.70
  4. Step 4: Simplify right side
    8,388.50x = 32,035,572.48
  5. Step 5: Solve for x
    x = 32,035,572.48/8,388.50
  6. Step 6: Final answer
    x = 3,818.99

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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.