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Finding the Fourth Proportional to 8,239, 12,327.50 and 5,778.62

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Solution

The fourth proportional to 8,239, 12,327.50 and 5,778.62 is: 8,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239 : 12,327.50 = 5,778.62 : x
  2. Step 2: Convert to fraction form
    8,239/12,327.50 = 5,778.62/x
  3. Step 3: Cross multiply
    8,239x = 12,327.50 × 5,778.62
  4. Step 4: Simplify right side
    8,239x = 71,235,938.05
  5. Step 5: Solve for x
    x = 71,235,938.05/8,239
  6. Step 6: Final answer
    x = 8,646.19

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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.