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Finding the Fourth Proportional to 8,277.69, 12,419.13 and 2,734.93

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Solution

The fourth proportional to 8,277.69, 12,419.13 and 2,734.93 is: 4,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.69 : 12,419.13 = 2,734.93 : x
  2. Step 2: Convert to fraction form
    8,277.69/12,419.13 = 2,734.93/x
  3. Step 3: Cross multiply
    8,277.69x = 12,419.13 × 2,734.93
  4. Step 4: Simplify right side
    8,277.69x = 33,965,476.99
  5. Step 5: Solve for x
    x = 33,965,476.99/8,277.69
  6. Step 6: Final answer
    x = 4,103.25

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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.