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Finding the Fourth Proportional to 8,274.28, 12,411.88 and 2,727.40

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Solution

The fourth proportional to 8,274.28, 12,411.88 and 2,727.40 is: 4,091.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.28 : 12,411.88 = 2,727.40 : x
  2. Step 2: Convert to fraction form
    8,274.28/12,411.88 = 2,727.40/x
  3. Step 3: Cross multiply
    8,274.28x = 12,411.88 × 2,727.40
  4. Step 4: Simplify right side
    8,274.28x = 33,852,161.51
  5. Step 5: Solve for x
    x = 33,852,161.51/8,274.28
  6. Step 6: Final answer
    x = 4,091.25

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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.