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Finding the Fourth Proportional to 6,766.14, 10,152.84 and 2,820.13

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Solution

The fourth proportional to 6,766.14, 10,152.84 and 2,820.13 is: 4,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.14 : 10,152.84 = 2,820.13 : x
  2. Step 2: Convert to fraction form
    6,766.14/10,152.84 = 2,820.13/x
  3. Step 3: Cross multiply
    6,766.14x = 10,152.84 × 2,820.13
  4. Step 4: Simplify right side
    6,766.14x = 28,632,328.67
  5. Step 5: Solve for x
    x = 28,632,328.67/6,766.14
  6. Step 6: Final answer
    x = 4,231.71

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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.