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Finding the Fourth Proportional to 8,301.96, 11,456.90 and 5,114.08

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Solution

The fourth proportional to 8,301.96, 11,456.90 and 5,114.08 is: 7,057.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.96 : 11,456.90 = 5,114.08 : x
  2. Step 2: Convert to fraction form
    8,301.96/11,456.90 = 5,114.08/x
  3. Step 3: Cross multiply
    8,301.96x = 11,456.90 × 5,114.08
  4. Step 4: Simplify right side
    8,301.96x = 58,591,503.15
  5. Step 5: Solve for x
    x = 58,591,503.15/8,301.96
  6. Step 6: Final answer
    x = 7,057.55

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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.