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Finding the Fourth Proportional to 7,241.20, 10,847.40 and 3,948.40

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Solution

The fourth proportional to 7,241.20, 10,847.40 and 3,948.40 is: 5,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.20 : 10,847.40 = 3,948.40 : x
  2. Step 2: Convert to fraction form
    7,241.20/10,847.40 = 3,948.40/x
  3. Step 3: Cross multiply
    7,241.20x = 10,847.40 × 3,948.40
  4. Step 4: Simplify right side
    7,241.20x = 42,829,874.16
  5. Step 5: Solve for x
    x = 42,829,874.16/7,241.20
  6. Step 6: Final answer
    x = 5,914.75

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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.