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Finding the Fourth Proportional to 10,223.88, 14,107.68 and 5,747.10

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Solution

The fourth proportional to 10,223.88, 14,107.68 and 5,747.10 is: 7,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.88 : 14,107.68 = 5,747.10 : x
  2. Step 2: Convert to fraction form
    10,223.88/14,107.68 = 5,747.10/x
  3. Step 3: Cross multiply
    10,223.88x = 14,107.68 × 5,747.10
  4. Step 4: Simplify right side
    10,223.88x = 81,078,247.73
  5. Step 5: Solve for x
    x = 81,078,247.73/10,223.88
  6. Step 6: Final answer
    x = 7,930.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.