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Finding the Fourth Proportional to 11,887.72, 16,407.78 and 7,909

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Solution

The fourth proportional to 11,887.72, 16,407.78 and 7,909 is: 10,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.72 : 16,407.78 = 7,909 : x
  2. Step 2: Convert to fraction form
    11,887.72/16,407.78 = 7,909/x
  3. Step 3: Cross multiply
    11,887.72x = 16,407.78 × 7,909
  4. Step 4: Simplify right side
    11,887.72x = 129,769,132.02
  5. Step 5: Solve for x
    x = 129,769,132.02/11,887.72
  6. Step 6: Final answer
    x = 10,916.23

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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.