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Finding the Fourth Proportional to 6,865.50, 10,298.25 and 2,761.50

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Solution

The fourth proportional to 6,865.50, 10,298.25 and 2,761.50 is: 4,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.50 : 10,298.25 = 2,761.50 : x
  2. Step 2: Convert to fraction form
    6,865.50/10,298.25 = 2,761.50/x
  3. Step 3: Cross multiply
    6,865.50x = 10,298.25 × 2,761.50
  4. Step 4: Simplify right side
    6,865.50x = 28,438,617.38
  5. Step 5: Solve for x
    x = 28,438,617.38/6,865.50
  6. Step 6: Final answer
    x = 4,142.25

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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.