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Finding the Fourth Proportional to 8,218.61, 12,324.67 and 3,538.97

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Solution

The fourth proportional to 8,218.61, 12,324.67 and 3,538.97 is: 5,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.61 : 12,324.67 = 3,538.97 : x
  2. Step 2: Convert to fraction form
    8,218.61/12,324.67 = 3,538.97/x
  3. Step 3: Cross multiply
    8,218.61x = 12,324.67 × 3,538.97
  4. Step 4: Simplify right side
    8,218.61x = 43,616,637.39
  5. Step 5: Solve for x
    x = 43,616,637.39/8,218.61
  6. Step 6: Final answer
    x = 5,307.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.