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Finding the Fourth Proportional to 8,213.28, 12,320.28 and 2,666.16

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Solution

The fourth proportional to 8,213.28, 12,320.28 and 2,666.16 is: 3,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.28 : 12,320.28 = 2,666.16 : x
  2. Step 2: Convert to fraction form
    8,213.28/12,320.28 = 2,666.16/x
  3. Step 3: Cross multiply
    8,213.28x = 12,320.28 × 2,666.16
  4. Step 4: Simplify right side
    8,213.28x = 32,847,837.72
  5. Step 5: Solve for x
    x = 32,847,837.72/8,213.28
  6. Step 6: Final answer
    x = 3,999.36

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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.