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Finding the Fourth Proportional to 7,853.85, 11,778.94 and 2,305.71

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Solution

The fourth proportional to 7,853.85, 11,778.94 and 2,305.71 is: 3,458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.85 : 11,778.94 = 2,305.71 : x
  2. Step 2: Convert to fraction form
    7,853.85/11,778.94 = 2,305.71/x
  3. Step 3: Cross multiply
    7,853.85x = 11,778.94 × 2,305.71
  4. Step 4: Simplify right side
    7,853.85x = 27,158,819.75
  5. Step 5: Solve for x
    x = 27,158,819.75/7,853.85
  6. Step 6: Final answer
    x = 3,458.03

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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.