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Finding the Fourth Proportional to 7,859.27, 11,778.08 and 5,780.41

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Solution

The fourth proportional to 7,859.27, 11,778.08 and 5,780.41 is: 8,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.27 : 11,778.08 = 5,780.41 : x
  2. Step 2: Convert to fraction form
    7,859.27/11,778.08 = 5,780.41/x
  3. Step 3: Cross multiply
    7,859.27x = 11,778.08 × 5,780.41
  4. Step 4: Simplify right side
    7,859.27x = 68,082,073.07
  5. Step 5: Solve for x
    x = 68,082,073.07/7,859.27
  6. Step 6: Final answer
    x = 8,662.64

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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.