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Finding the Fourth Proportional to 10,150.85, 15,230.82 and 6,452.12

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Solution

The fourth proportional to 10,150.85, 15,230.82 and 6,452.12 is: 9,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150.85 : 15,230.82 = 6,452.12 : x
  2. Step 2: Convert to fraction form
    10,150.85/15,230.82 = 6,452.12/x
  3. Step 3: Cross multiply
    10,150.85x = 15,230.82 × 6,452.12
  4. Step 4: Simplify right side
    10,150.85x = 98,270,969.92
  5. Step 5: Solve for x
    x = 98,270,969.92/10,150.85
  6. Step 6: Final answer
    x = 9,681.06

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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.