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Finding the Fourth Proportional to 8,171.96, 12,257.87 and 2,328.58

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Solution

The fourth proportional to 8,171.96, 12,257.87 and 2,328.58 is: 3,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.96 : 12,257.87 = 2,328.58 : x
  2. Step 2: Convert to fraction form
    8,171.96/12,257.87 = 2,328.58/x
  3. Step 3: Cross multiply
    8,171.96x = 12,257.87 × 2,328.58
  4. Step 4: Simplify right side
    8,171.96x = 28,543,434.60
  5. Step 5: Solve for x
    x = 28,543,434.60/8,171.96
  6. Step 6: Final answer
    x = 3,492.85

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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.