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Finding the Fourth Proportional to 10,630.50, 15,945.75 and 2,839.14

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Solution

The fourth proportional to 10,630.50, 15,945.75 and 2,839.14 is: 4,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.50 : 15,945.75 = 2,839.14 : x
  2. Step 2: Convert to fraction form
    10,630.50/15,945.75 = 2,839.14/x
  3. Step 3: Cross multiply
    10,630.50x = 15,945.75 × 2,839.14
  4. Step 4: Simplify right side
    10,630.50x = 45,272,216.66
  5. Step 5: Solve for x
    x = 45,272,216.66/10,630.50
  6. Step 6: Final answer
    x = 4,258.71

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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.