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Finding the Fourth Proportional to 8,212.96, 12,321.48 and 2,666.32

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Solution

The fourth proportional to 8,212.96, 12,321.48 and 2,666.32 is: 4,000.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.96 : 12,321.48 = 2,666.32 : x
  2. Step 2: Convert to fraction form
    8,212.96/12,321.48 = 2,666.32/x
  3. Step 3: Cross multiply
    8,212.96x = 12,321.48 × 2,666.32
  4. Step 4: Simplify right side
    8,212.96x = 32,853,008.55
  5. Step 5: Solve for x
    x = 32,853,008.55/8,212.96
  6. Step 6: Final answer
    x = 4,000.14

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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.