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Finding the Fourth Proportional to 7,346.81, 10,138.70 and 3,989.66

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Solution

The fourth proportional to 7,346.81, 10,138.70 and 3,989.66 is: 5,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.81 : 10,138.70 = 3,989.66 : x
  2. Step 2: Convert to fraction form
    7,346.81/10,138.70 = 3,989.66/x
  3. Step 3: Cross multiply
    7,346.81x = 10,138.70 × 3,989.66
  4. Step 4: Simplify right side
    7,346.81x = 40,449,965.84
  5. Step 5: Solve for x
    x = 40,449,965.84/7,346.81
  6. Step 6: Final answer
    x = 5,505.79

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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.