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Finding the Fourth Proportional to 8,137.35, 11,227.14 and 5,114.97

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Solution

The fourth proportional to 8,137.35, 11,227.14 and 5,114.97 is: 7,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.35 : 11,227.14 = 5,114.97 : x
  2. Step 2: Convert to fraction form
    8,137.35/11,227.14 = 5,114.97/x
  3. Step 3: Cross multiply
    8,137.35x = 11,227.14 × 5,114.97
  4. Step 4: Simplify right side
    8,137.35x = 57,426,484.29
  5. Step 5: Solve for x
    x = 57,426,484.29/8,137.35
  6. Step 6: Final answer
    x = 7,057.15

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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.