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Finding the Fourth Proportional to 8,217.82, 11,337.70 and 5,032.56

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Solution

The fourth proportional to 8,217.82, 11,337.70 and 5,032.56 is: 6,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.82 : 11,337.70 = 5,032.56 : x
  2. Step 2: Convert to fraction form
    8,217.82/11,337.70 = 5,032.56/x
  3. Step 3: Cross multiply
    8,217.82x = 11,337.70 × 5,032.56
  4. Step 4: Simplify right side
    8,217.82x = 57,057,655.51
  5. Step 5: Solve for x
    x = 57,057,655.51/8,217.82
  6. Step 6: Final answer
    x = 6,943.16

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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.