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Finding the Fourth Proportional to 8,760.75, 13,142.85 and 3,214.14

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Solution

The fourth proportional to 8,760.75, 13,142.85 and 3,214.14 is: 4,821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,760.75 : 13,142.85 = 3,214.14 : x
  2. Step 2: Convert to fraction form
    8,760.75/13,142.85 = 3,214.14/x
  3. Step 3: Cross multiply
    8,760.75x = 13,142.85 × 3,214.14
  4. Step 4: Simplify right side
    8,760.75x = 42,242,943.83
  5. Step 5: Solve for x
    x = 42,242,943.83/8,760.75
  6. Step 6: Final answer
    x = 4,821.84

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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.