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Finding the Fourth Proportional to 12,778.69, 19,161.55 and 5,847.25

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Solution

The fourth proportional to 12,778.69, 19,161.55 and 5,847.25 is: 8,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.69 : 19,161.55 = 5,847.25 : x
  2. Step 2: Convert to fraction form
    12,778.69/19,161.55 = 5,847.25/x
  3. Step 3: Cross multiply
    12,778.69x = 19,161.55 × 5,847.25
  4. Step 4: Simplify right side
    12,778.69x = 112,042,373.24
  5. Step 5: Solve for x
    x = 112,042,373.24/12,778.69
  6. Step 6: Final answer
    x = 8,767.91

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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.