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Finding the Fourth Proportional to 7,869.38, 11,802.18 and 2,321.22

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Solution

The fourth proportional to 7,869.38, 11,802.18 and 2,321.22 is: 3,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.38 : 11,802.18 = 2,321.22 : x
  2. Step 2: Convert to fraction form
    7,869.38/11,802.18 = 2,321.22/x
  3. Step 3: Cross multiply
    7,869.38x = 11,802.18 × 2,321.22
  4. Step 4: Simplify right side
    7,869.38x = 27,395,456.26
  5. Step 5: Solve for x
    x = 27,395,456.26/7,869.38
  6. Step 6: Final answer
    x = 3,481.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.