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Finding the Fourth Proportional to 8,212.62, 12,319.53 and 2,666.85

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Solution

The fourth proportional to 8,212.62, 12,319.53 and 2,666.85 is: 4,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.62 : 12,319.53 = 2,666.85 : x
  2. Step 2: Convert to fraction form
    8,212.62/12,319.53 = 2,666.85/x
  3. Step 3: Cross multiply
    8,212.62x = 12,319.53 × 2,666.85
  4. Step 4: Simplify right side
    8,212.62x = 32,854,338.58
  5. Step 5: Solve for x
    x = 32,854,338.58/8,212.62
  6. Step 6: Final answer
    x = 4,000.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.