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Finding the Fourth Proportional to 8,057.81, 11,117.12 and 5,227.40

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Solution

The fourth proportional to 8,057.81, 11,117.12 and 5,227.40 is: 7,212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.81 : 11,117.12 = 5,227.40 : x
  2. Step 2: Convert to fraction form
    8,057.81/11,117.12 = 5,227.40/x
  3. Step 3: Cross multiply
    8,057.81x = 11,117.12 × 5,227.40
  4. Step 4: Simplify right side
    8,057.81x = 58,113,634.74
  5. Step 5: Solve for x
    x = 58,113,634.74/8,057.81
  6. Step 6: Final answer
    x = 7,212.09

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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.