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Finding the Fourth Proportional to 8,272.70, 12,402.56 and 5,667.74

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Solution

The fourth proportional to 8,272.70, 12,402.56 and 5,667.74 is: 8,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.70 : 12,402.56 = 5,667.74 : x
  2. Step 2: Convert to fraction form
    8,272.70/12,402.56 = 5,667.74/x
  3. Step 3: Cross multiply
    8,272.70x = 12,402.56 × 5,667.74
  4. Step 4: Simplify right side
    8,272.70x = 70,294,485.41
  5. Step 5: Solve for x
    x = 70,294,485.41/8,272.70
  6. Step 6: Final answer
    x = 8,497.16

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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.