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Finding the Fourth Proportional to 7,778.96, 11,661.24 and 2,583.92

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Solution

The fourth proportional to 7,778.96, 11,661.24 and 2,583.92 is: 3,873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.96 : 11,661.24 = 2,583.92 : x
  2. Step 2: Convert to fraction form
    7,778.96/11,661.24 = 2,583.92/x
  3. Step 3: Cross multiply
    7,778.96x = 11,661.24 × 2,583.92
  4. Step 4: Simplify right side
    7,778.96x = 30,131,711.26
  5. Step 5: Solve for x
    x = 30,131,711.26/7,778.96
  6. Step 6: Final answer
    x = 3,873.49

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Why These Related Problems?

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