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Finding the Fourth Proportional to 7,843.18, 11,763.91 and 2,296.58

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Solution

The fourth proportional to 7,843.18, 11,763.91 and 2,296.58 is: 3,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.18 : 11,763.91 = 2,296.58 : x
  2. Step 2: Convert to fraction form
    7,843.18/11,763.91 = 2,296.58/x
  3. Step 3: Cross multiply
    7,843.18x = 11,763.91 × 2,296.58
  4. Step 4: Simplify right side
    7,843.18x = 27,016,707.70
  5. Step 5: Solve for x
    x = 27,016,707.70/7,843.18
  6. Step 6: Final answer
    x = 3,444.61

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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.