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Finding the Fourth Proportional to 8,212.32, 12,319.56 and 2,667.60

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Solution

The fourth proportional to 8,212.32, 12,319.56 and 2,667.60 is: 4,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.32 : 12,319.56 = 2,667.60 : x
  2. Step 2: Convert to fraction form
    8,212.32/12,319.56 = 2,667.60/x
  3. Step 3: Cross multiply
    8,212.32x = 12,319.56 × 2,667.60
  4. Step 4: Simplify right side
    8,212.32x = 32,863,658.26
  5. Step 5: Solve for x
    x = 32,863,658.26/8,212.32
  6. Step 6: Final answer
    x = 4,001.75

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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.