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Finding the Fourth Proportional to 8,239.81, 11,371.43 and 5,053.47

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Solution

The fourth proportional to 8,239.81, 11,371.43 and 5,053.47 is: 6,974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.81 : 11,371.43 = 5,053.47 : x
  2. Step 2: Convert to fraction form
    8,239.81/11,371.43 = 5,053.47/x
  3. Step 3: Cross multiply
    8,239.81x = 11,371.43 × 5,053.47
  4. Step 4: Simplify right side
    8,239.81x = 57,465,193.00
  5. Step 5: Solve for x
    x = 57,465,193.00/8,239.81
  6. Step 6: Final answer
    x = 6,974.09

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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.