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Finding the Fourth Proportional to 8,174.89, 12,264.15 and 2,980.75

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Solution

The fourth proportional to 8,174.89, 12,264.15 and 2,980.75 is: 4,471.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.89 : 12,264.15 = 2,980.75 : x
  2. Step 2: Convert to fraction form
    8,174.89/12,264.15 = 2,980.75/x
  3. Step 3: Cross multiply
    8,174.89x = 12,264.15 × 2,980.75
  4. Step 4: Simplify right side
    8,174.89x = 36,556,365.11
  5. Step 5: Solve for x
    x = 36,556,365.11/8,174.89
  6. Step 6: Final answer
    x = 4,471.79

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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.