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Finding the Fourth Proportional to 10,294.52, 15,441.78 and 7,230.20

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Solution

The fourth proportional to 10,294.52, 15,441.78 and 7,230.20 is: 10,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.52 : 15,441.78 = 7,230.20 : x
  2. Step 2: Convert to fraction form
    10,294.52/15,441.78 = 7,230.20/x
  3. Step 3: Cross multiply
    10,294.52x = 15,441.78 × 7,230.20
  4. Step 4: Simplify right side
    10,294.52x = 111,647,157.76
  5. Step 5: Solve for x
    x = 111,647,157.76/10,294.52
  6. Step 6: Final answer
    x = 10,845.30

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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.