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Finding the Fourth Proportional to 10,046.16, 13,863.42 and 6,065.82

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Solution

The fourth proportional to 10,046.16, 13,863.42 and 6,065.82 is: 8,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.16 : 13,863.42 = 6,065.82 : x
  2. Step 2: Convert to fraction form
    10,046.16/13,863.42 = 6,065.82/x
  3. Step 3: Cross multiply
    10,046.16x = 13,863.42 × 6,065.82
  4. Step 4: Simplify right side
    10,046.16x = 84,093,010.30
  5. Step 5: Solve for x
    x = 84,093,010.30/10,046.16
  6. Step 6: Final answer
    x = 8,370.66

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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.