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Finding the Fourth Proportional to 10,810.72, 14,912.40 and 8,149.78

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Solution

The fourth proportional to 10,810.72, 14,912.40 and 8,149.78 is: 11,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.72 : 14,912.40 = 8,149.78 : x
  2. Step 2: Convert to fraction form
    10,810.72/14,912.40 = 8,149.78/x
  3. Step 3: Cross multiply
    10,810.72x = 14,912.40 × 8,149.78
  4. Step 4: Simplify right side
    10,810.72x = 121,532,779.27
  5. Step 5: Solve for x
    x = 121,532,779.27/10,810.72
  6. Step 6: Final answer
    x = 11,241.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.