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Finding the Fourth Proportional to 10,827.88, 14,939.89 and 7,469.62

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Solution

The fourth proportional to 10,827.88, 14,939.89 and 7,469.62 is: 10,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.88 : 14,939.89 = 7,469.62 : x
  2. Step 2: Convert to fraction form
    10,827.88/14,939.89 = 7,469.62/x
  3. Step 3: Cross multiply
    10,827.88x = 14,939.89 × 7,469.62
  4. Step 4: Simplify right side
    10,827.88x = 111,595,301.14
  5. Step 5: Solve for x
    x = 111,595,301.14/10,827.88
  6. Step 6: Final answer
    x = 10,306.29

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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.