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Finding the Fourth Proportional to 10,046.26, 13,862.03 and 5,796.33

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Solution

The fourth proportional to 10,046.26, 13,862.03 and 5,796.33 is: 7,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.26 : 13,862.03 = 5,796.33 : x
  2. Step 2: Convert to fraction form
    10,046.26/13,862.03 = 5,796.33/x
  3. Step 3: Cross multiply
    10,046.26x = 13,862.03 × 5,796.33
  4. Step 4: Simplify right side
    10,046.26x = 80,348,900.35
  5. Step 5: Solve for x
    x = 80,348,900.35/10,046.26
  6. Step 6: Final answer
    x = 7,997.89

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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.