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Finding the Fourth Proportional to 8,760.24, 13,142.10 and 3,213.64

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Solution

The fourth proportional to 8,760.24, 13,142.10 and 3,213.64 is: 4,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,760.24 : 13,142.10 = 3,213.64 : x
  2. Step 2: Convert to fraction form
    8,760.24/13,142.10 = 3,213.64/x
  3. Step 3: Cross multiply
    8,760.24x = 13,142.10 × 3,213.64
  4. Step 4: Simplify right side
    8,760.24x = 42,233,929.32
  5. Step 5: Solve for x
    x = 42,233,929.32/8,760.24
  6. Step 6: Final answer
    x = 4,821.09

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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.