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Finding the Fourth Proportional to 8,124.67, 12,188.83 and 2,578.19

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Solution

The fourth proportional to 8,124.67, 12,188.83 and 2,578.19 is: 3,867.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.67 : 12,188.83 = 2,578.19 : x
  2. Step 2: Convert to fraction form
    8,124.67/12,188.83 = 2,578.19/x
  3. Step 3: Cross multiply
    8,124.67x = 12,188.83 × 2,578.19
  4. Step 4: Simplify right side
    8,124.67x = 31,425,166.50
  5. Step 5: Solve for x
    x = 31,425,166.50/8,124.67
  6. Step 6: Final answer
    x = 3,867.87

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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.