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Finding the Fourth Proportional to 8,217.36, 12,322.80 and 3,537.72

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Solution

The fourth proportional to 8,217.36, 12,322.80 and 3,537.72 is: 5,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.36 : 12,322.80 = 3,537.72 : x
  2. Step 2: Convert to fraction form
    8,217.36/12,322.80 = 3,537.72/x
  3. Step 3: Cross multiply
    8,217.36x = 12,322.80 × 3,537.72
  4. Step 4: Simplify right side
    8,217.36x = 43,594,616.02
  5. Step 5: Solve for x
    x = 43,594,616.02/8,217.36
  6. Step 6: Final answer
    x = 5,305.19

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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.