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Finding the Fourth Proportional to 8,570.84, 12,856.02 and 2,727.80

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Solution

The fourth proportional to 8,570.84, 12,856.02 and 2,727.80 is: 4,091.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.84 : 12,856.02 = 2,727.80 : x
  2. Step 2: Convert to fraction form
    8,570.84/12,856.02 = 2,727.80/x
  3. Step 3: Cross multiply
    8,570.84x = 12,856.02 × 2,727.80
  4. Step 4: Simplify right side
    8,570.84x = 35,068,651.36
  5. Step 5: Solve for x
    x = 35,068,651.36/8,570.84
  6. Step 6: Final answer
    x = 4,091.62

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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.