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Finding the Fourth Proportional to 8,667.28, 13,002 and 2,822.32

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Solution

The fourth proportional to 8,667.28, 13,002 and 2,822.32 is: 4,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.28 : 13,002 = 2,822.32 : x
  2. Step 2: Convert to fraction form
    8,667.28/13,002 = 2,822.32/x
  3. Step 3: Cross multiply
    8,667.28x = 13,002 × 2,822.32
  4. Step 4: Simplify right side
    8,667.28x = 36,695,804.64
  5. Step 5: Solve for x
    x = 36,695,804.64/8,667.28
  6. Step 6: Final answer
    x = 4,233.83

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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.