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Finding the Fourth Proportional to 8,738.40, 12,062.46 and 5,200.92

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Solution

The fourth proportional to 8,738.40, 12,062.46 and 5,200.92 is: 7,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.40 : 12,062.46 = 5,200.92 : x
  2. Step 2: Convert to fraction form
    8,738.40/12,062.46 = 5,200.92/x
  3. Step 3: Cross multiply
    8,738.40x = 12,062.46 × 5,200.92
  4. Step 4: Simplify right side
    8,738.40x = 62,735,889.46
  5. Step 5: Solve for x
    x = 62,735,889.46/8,738.40
  6. Step 6: Final answer
    x = 7,179.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.