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Finding the Fourth Proportional to 8,114.45, 12,177 and 2,849.33

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Solution

The fourth proportional to 8,114.45, 12,177 and 2,849.33 is: 4,275.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.45 : 12,177 = 2,849.33 : x
  2. Step 2: Convert to fraction form
    8,114.45/12,177 = 2,849.33/x
  3. Step 3: Cross multiply
    8,114.45x = 12,177 × 2,849.33
  4. Step 4: Simplify right side
    8,114.45x = 34,696,253.36
  5. Step 5: Solve for x
    x = 34,696,253.36/8,114.45
  6. Step 6: Final answer
    x = 4,275.86

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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.