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Finding the Fourth Proportional to 8,524.60, 12,786.78 and 2,368.60

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Solution

The fourth proportional to 8,524.60, 12,786.78 and 2,368.60 is: 3,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.60 : 12,786.78 = 2,368.60 : x
  2. Step 2: Convert to fraction form
    8,524.60/12,786.78 = 2,368.60/x
  3. Step 3: Cross multiply
    8,524.60x = 12,786.78 × 2,368.60
  4. Step 4: Simplify right side
    8,524.60x = 30,286,767.11
  5. Step 5: Solve for x
    x = 30,286,767.11/8,524.60
  6. Step 6: Final answer
    x = 3,552.87

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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.