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Finding the Fourth Proportional to 8,212.32, 12,320.42 and 2,665.66

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Solution

The fourth proportional to 8,212.32, 12,320.42 and 2,665.66 is: 3,999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.32 : 12,320.42 = 2,665.66 : x
  2. Step 2: Convert to fraction form
    8,212.32/12,320.42 = 2,665.66/x
  3. Step 3: Cross multiply
    8,212.32x = 12,320.42 × 2,665.66
  4. Step 4: Simplify right side
    8,212.32x = 32,842,050.78
  5. Step 5: Solve for x
    x = 32,842,050.78/8,212.32
  6. Step 6: Final answer
    x = 3,999.12

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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.