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Finding the Fourth Proportional to 7,346.95, 10,138.87 and 3,989.80

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Solution

The fourth proportional to 7,346.95, 10,138.87 and 3,989.80 is: 5,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.95 : 10,138.87 = 3,989.80 : x
  2. Step 2: Convert to fraction form
    7,346.95/10,138.87 = 3,989.80/x
  3. Step 3: Cross multiply
    7,346.95x = 10,138.87 × 3,989.80
  4. Step 4: Simplify right side
    7,346.95x = 40,452,002.86
  5. Step 5: Solve for x
    x = 40,452,002.86/7,346.95
  6. Step 6: Final answer
    x = 5,505.96

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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.