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Finding the Fourth Proportional to 7,346.57, 10,138.23 and 3,989.36

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Solution

The fourth proportional to 7,346.57, 10,138.23 and 3,989.36 is: 5,505.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.57 : 10,138.23 = 3,989.36 : x
  2. Step 2: Convert to fraction form
    7,346.57/10,138.23 = 3,989.36/x
  3. Step 3: Cross multiply
    7,346.57x = 10,138.23 × 3,989.36
  4. Step 4: Simplify right side
    7,346.57x = 40,445,013.50
  5. Step 5: Solve for x
    x = 40,445,013.50/7,346.57
  6. Step 6: Final answer
    x = 5,505.29

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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.