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Finding the Fourth Proportional to 8,171.48, 12,259.38 and 2,328.14

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Solution

The fourth proportional to 8,171.48, 12,259.38 and 2,328.14 is: 3,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.48 : 12,259.38 = 2,328.14 : x
  2. Step 2: Convert to fraction form
    8,171.48/12,259.38 = 2,328.14/x
  3. Step 3: Cross multiply
    8,171.48x = 12,259.38 × 2,328.14
  4. Step 4: Simplify right side
    8,171.48x = 28,541,552.95
  5. Step 5: Solve for x
    x = 28,541,552.95/8,171.48
  6. Step 6: Final answer
    x = 3,492.83

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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.