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Finding the Fourth Proportional to 6,766.84, 10,151.06 and 2,820.77

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Solution

The fourth proportional to 6,766.84, 10,151.06 and 2,820.77 is: 4,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.84 : 10,151.06 = 2,820.77 : x
  2. Step 2: Convert to fraction form
    6,766.84/10,151.06 = 2,820.77/x
  3. Step 3: Cross multiply
    6,766.84x = 10,151.06 × 2,820.77
  4. Step 4: Simplify right side
    6,766.84x = 28,633,794.59
  5. Step 5: Solve for x
    x = 28,633,794.59/6,766.84
  6. Step 6: Final answer
    x = 4,231.49

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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.