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Finding the Fourth Proportional to 8,222.31, 12,312.41 and 5,440.57

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Solution

The fourth proportional to 8,222.31, 12,312.41 and 5,440.57 is: 8,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.31 : 12,312.41 = 5,440.57 : x
  2. Step 2: Convert to fraction form
    8,222.31/12,312.41 = 5,440.57/x
  3. Step 3: Cross multiply
    8,222.31x = 12,312.41 × 5,440.57
  4. Step 4: Simplify right side
    8,222.31x = 66,986,470.49
  5. Step 5: Solve for x
    x = 66,986,470.49/8,222.31
  6. Step 6: Final answer
    x = 8,146.92

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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.