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Finding the Fourth Proportional to 10,229.54, 14,114.99 and 5,752.94

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Solution

The fourth proportional to 10,229.54, 14,114.99 and 5,752.94 is: 7,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.54 : 14,114.99 = 5,752.94 : x
  2. Step 2: Convert to fraction form
    10,229.54/14,114.99 = 5,752.94/x
  3. Step 3: Cross multiply
    10,229.54x = 14,114.99 × 5,752.94
  4. Step 4: Simplify right side
    10,229.54x = 81,202,634.38
  5. Step 5: Solve for x
    x = 81,202,634.38/10,229.54
  6. Step 6: Final answer
    x = 7,938.06

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Why These Related Problems?

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