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Finding the Fourth Proportional to 8,538.49, 12,809.64 and 2,616.21

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Solution

The fourth proportional to 8,538.49, 12,809.64 and 2,616.21 is: 3,924.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.49 : 12,809.64 = 2,616.21 : x
  2. Step 2: Convert to fraction form
    8,538.49/12,809.64 = 2,616.21/x
  3. Step 3: Cross multiply
    8,538.49x = 12,809.64 × 2,616.21
  4. Step 4: Simplify right side
    8,538.49x = 33,512,708.26
  5. Step 5: Solve for x
    x = 33,512,708.26/8,538.49
  6. Step 6: Final answer
    x = 3,924.90

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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.