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Finding the Fourth Proportional to 8,542.71, 11,788.67 and 5,008.28

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Solution

The fourth proportional to 8,542.71, 11,788.67 and 5,008.28 is: 6,911.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.71 : 11,788.67 = 5,008.28 : x
  2. Step 2: Convert to fraction form
    8,542.71/11,788.67 = 5,008.28/x
  3. Step 3: Cross multiply
    8,542.71x = 11,788.67 × 5,008.28
  4. Step 4: Simplify right side
    8,542.71x = 59,040,913.76
  5. Step 5: Solve for x
    x = 59,040,913.76/8,542.71
  6. Step 6: Final answer
    x = 6,911.26

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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.