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Finding the Fourth Proportional to 8,738.68, 13,104.54 and 3,190.76

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Solution

The fourth proportional to 8,738.68, 13,104.54 and 3,190.76 is: 4,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,738.68 : 13,104.54 = 3,190.76 : x
  2. Step 2: Convert to fraction form
    8,738.68/13,104.54 = 3,190.76/x
  3. Step 3: Cross multiply
    8,738.68x = 13,104.54 × 3,190.76
  4. Step 4: Simplify right side
    8,738.68x = 41,813,442.05
  5. Step 5: Solve for x
    x = 41,813,442.05/8,738.68
  6. Step 6: Final answer
    x = 4,784.87

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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.