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Finding the Fourth Proportional to 8,524.63, 12,785.12 and 2,679.87

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Solution

The fourth proportional to 8,524.63, 12,785.12 and 2,679.87 is: 4,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.63 : 12,785.12 = 2,679.87 : x
  2. Step 2: Convert to fraction form
    8,524.63/12,785.12 = 2,679.87/x
  3. Step 3: Cross multiply
    8,524.63x = 12,785.12 × 2,679.87
  4. Step 4: Simplify right side
    8,524.63x = 34,262,459.53
  5. Step 5: Solve for x
    x = 34,262,459.53/8,524.63
  6. Step 6: Final answer
    x = 4,019.23

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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.