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Finding the Fourth Proportional to 8,524.40, 12,788.40 and 2,600.80

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Solution

The fourth proportional to 8,524.40, 12,788.40 and 2,600.80 is: 3,901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.40 : 12,788.40 = 2,600.80 : x
  2. Step 2: Convert to fraction form
    8,524.40/12,788.40 = 2,600.80/x
  3. Step 3: Cross multiply
    8,524.40x = 12,788.40 × 2,600.80
  4. Step 4: Simplify right side
    8,524.40x = 33,260,070.72
  5. Step 5: Solve for x
    x = 33,260,070.72/8,524.40
  6. Step 6: Final answer
    x = 3,901.75

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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.