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Finding the Fourth Proportional to 10,046.70, 13,862.07 and 5,855.22

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Solution

The fourth proportional to 10,046.70, 13,862.07 and 5,855.22 is: 8,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.70 : 13,862.07 = 5,855.22 : x
  2. Step 2: Convert to fraction form
    10,046.70/13,862.07 = 5,855.22/x
  3. Step 3: Cross multiply
    10,046.70x = 13,862.07 × 5,855.22
  4. Step 4: Simplify right side
    10,046.70x = 81,165,469.51
  5. Step 5: Solve for x
    x = 81,165,469.51/10,046.70
  6. Step 6: Final answer
    x = 8,078.82

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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.