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Finding the Fourth Proportional to 7,806.28, 11,708.22 and 2,874.74

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Solution

The fourth proportional to 7,806.28, 11,708.22 and 2,874.74 is: 4,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.28 : 11,708.22 = 2,874.74 : x
  2. Step 2: Convert to fraction form
    7,806.28/11,708.22 = 2,874.74/x
  3. Step 3: Cross multiply
    7,806.28x = 11,708.22 × 2,874.74
  4. Step 4: Simplify right side
    7,806.28x = 33,658,029.82
  5. Step 5: Solve for x
    x = 33,658,029.82/7,806.28
  6. Step 6: Final answer
    x = 4,311.66

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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.