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Finding the Fourth Proportional to 10,046.70, 13,862.97 and 5,796.18

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Solution

The fourth proportional to 10,046.70, 13,862.97 and 5,796.18 is: 7,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.70 : 13,862.97 = 5,796.18 : x
  2. Step 2: Convert to fraction form
    10,046.70/13,862.97 = 5,796.18/x
  3. Step 3: Cross multiply
    10,046.70x = 13,862.97 × 5,796.18
  4. Step 4: Simplify right side
    10,046.70x = 80,352,269.45
  5. Step 5: Solve for x
    x = 80,352,269.45/10,046.70
  6. Step 6: Final answer
    x = 7,997.88

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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.