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Finding the Fourth Proportional to 8,177.54, 12,268.13 and 2,334.20

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Solution

The fourth proportional to 8,177.54, 12,268.13 and 2,334.20 is: 3,501.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.54 : 12,268.13 = 2,334.20 : x
  2. Step 2: Convert to fraction form
    8,177.54/12,268.13 = 2,334.20/x
  3. Step 3: Cross multiply
    8,177.54x = 12,268.13 × 2,334.20
  4. Step 4: Simplify right side
    8,177.54x = 28,636,196.03
  5. Step 5: Solve for x
    x = 28,636,196.03/8,177.54
  6. Step 6: Final answer
    x = 3,501.81

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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.