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Finding the Fourth Proportional to 8,388.74, 12,583.56 and 2,148.80

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Solution

The fourth proportional to 8,388.74, 12,583.56 and 2,148.80 is: 3,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388.74 : 12,583.56 = 2,148.80 : x
  2. Step 2: Convert to fraction form
    8,388.74/12,583.56 = 2,148.80/x
  3. Step 3: Cross multiply
    8,388.74x = 12,583.56 × 2,148.80
  4. Step 4: Simplify right side
    8,388.74x = 27,039,553.73
  5. Step 5: Solve for x
    x = 27,039,553.73/8,388.74
  6. Step 6: Final answer
    x = 3,223.32

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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.