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Finding the Fourth Proportional to 10,223.64, 14,108.24 and 5,747.24

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Solution

The fourth proportional to 10,223.64, 14,108.24 and 5,747.24 is: 7,930.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.64 : 14,108.24 = 5,747.24 : x
  2. Step 2: Convert to fraction form
    10,223.64/14,108.24 = 5,747.24/x
  3. Step 3: Cross multiply
    10,223.64x = 14,108.24 × 5,747.24
  4. Step 4: Simplify right side
    10,223.64x = 81,083,490.90
  5. Step 5: Solve for x
    x = 81,083,490.90/10,223.64
  6. Step 6: Final answer
    x = 7,930.98

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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.