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Finding the Fourth Proportional to 10,778.56, 16,167.72 and 2,881.06

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Solution

The fourth proportional to 10,778.56, 16,167.72 and 2,881.06 is: 4,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.56 : 16,167.72 = 2,881.06 : x
  2. Step 2: Convert to fraction form
    10,778.56/16,167.72 = 2,881.06/x
  3. Step 3: Cross multiply
    10,778.56x = 16,167.72 × 2,881.06
  4. Step 4: Simplify right side
    10,778.56x = 46,580,171.38
  5. Step 5: Solve for x
    x = 46,580,171.38/10,778.56
  6. Step 6: Final answer
    x = 4,321.56

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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.