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Finding the Fourth Proportional to 8,388.90, 12,583.35 and 8,169.66

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Solution

The fourth proportional to 8,388.90, 12,583.35 and 8,169.66 is: 12,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388.90 : 12,583.35 = 8,169.66 : x
  2. Step 2: Convert to fraction form
    8,388.90/12,583.35 = 8,169.66/x
  3. Step 3: Cross multiply
    8,388.90x = 12,583.35 × 8,169.66
  4. Step 4: Simplify right side
    8,388.90x = 102,801,691.16
  5. Step 5: Solve for x
    x = 102,801,691.16/8,388.90
  6. Step 6: Final answer
    x = 12,254.49

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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.