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Finding the Fourth Proportional to 8,408.45, 12,593.23 and 8,116.85

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Solution

The fourth proportional to 8,408.45, 12,593.23 and 8,116.85 is: 12,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.45 : 12,593.23 = 8,116.85 : x
  2. Step 2: Convert to fraction form
    8,408.45/12,593.23 = 8,116.85/x
  3. Step 3: Cross multiply
    8,408.45x = 12,593.23 × 8,116.85
  4. Step 4: Simplify right side
    8,408.45x = 102,217,275.67
  5. Step 5: Solve for x
    x = 102,217,275.67/8,408.45
  6. Step 6: Final answer
    x = 12,156.50

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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.