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Finding the Fourth Proportional to 8,371.90, 12,559.74 and 2,824.84

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Solution

The fourth proportional to 8,371.90, 12,559.74 and 2,824.84 is: 4,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.90 : 12,559.74 = 2,824.84 : x
  2. Step 2: Convert to fraction form
    8,371.90/12,559.74 = 2,824.84/x
  3. Step 3: Cross multiply
    8,371.90x = 12,559.74 × 2,824.84
  4. Step 4: Simplify right side
    8,371.90x = 35,479,255.94
  5. Step 5: Solve for x
    x = 35,479,255.94/8,371.90
  6. Step 6: Final answer
    x = 4,237.90

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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.