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Finding the Fourth Proportional to 10,778.69, 16,161.59 and 4,197.17

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Solution

The fourth proportional to 10,778.69, 16,161.59 and 4,197.17 is: 6,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.69 : 16,161.59 = 4,197.17 : x
  2. Step 2: Convert to fraction form
    10,778.69/16,161.59 = 4,197.17/x
  3. Step 3: Cross multiply
    10,778.69x = 16,161.59 × 4,197.17
  4. Step 4: Simplify right side
    10,778.69x = 67,832,991.60
  5. Step 5: Solve for x
    x = 67,832,991.60/10,778.69
  6. Step 6: Final answer
    x = 6,293.25

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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.