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Finding the Fourth Proportional to 10,200.60, 15,293.70 and 3,958.20

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Solution

The fourth proportional to 10,200.60, 15,293.70 and 3,958.20 is: 5,934.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.60 : 15,293.70 = 3,958.20 : x
  2. Step 2: Convert to fraction form
    10,200.60/15,293.70 = 3,958.20/x
  3. Step 3: Cross multiply
    10,200.60x = 15,293.70 × 3,958.20
  4. Step 4: Simplify right side
    10,200.60x = 60,535,523.34
  5. Step 5: Solve for x
    x = 60,535,523.34/10,200.60
  6. Step 6: Final answer
    x = 5,934.51

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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.