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Finding the Fourth Proportional to 7,346.60, 10,138.31 and 3,989.42

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Solution

The fourth proportional to 7,346.60, 10,138.31 and 3,989.42 is: 5,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.60 : 10,138.31 = 3,989.42 : x
  2. Step 2: Convert to fraction form
    7,346.60/10,138.31 = 3,989.42/x
  3. Step 3: Cross multiply
    7,346.60x = 10,138.31 × 3,989.42
  4. Step 4: Simplify right side
    7,346.60x = 40,445,906.04
  5. Step 5: Solve for x
    x = 40,445,906.04/7,346.60
  6. Step 6: Final answer
    x = 5,505.39

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Why These Related Problems?

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