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Finding the Fourth Proportional to 6,817.24, 10,223.69 and 2,656.24

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Solution

The fourth proportional to 6,817.24, 10,223.69 and 2,656.24 is: 3,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.24 : 10,223.69 = 2,656.24 : x
  2. Step 2: Convert to fraction form
    6,817.24/10,223.69 = 2,656.24/x
  3. Step 3: Cross multiply
    6,817.24x = 10,223.69 × 2,656.24
  4. Step 4: Simplify right side
    6,817.24x = 27,156,535.49
  5. Step 5: Solve for x
    x = 27,156,535.49/6,817.24
  6. Step 6: Final answer
    x = 3,983.51

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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.