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Finding the Fourth Proportional to 7,847.74, 11,767.95 and 3,466.46

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Solution

The fourth proportional to 7,847.74, 11,767.95 and 3,466.46 is: 5,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.74 : 11,767.95 = 3,466.46 : x
  2. Step 2: Convert to fraction form
    7,847.74/11,767.95 = 3,466.46/x
  3. Step 3: Cross multiply
    7,847.74x = 11,767.95 × 3,466.46
  4. Step 4: Simplify right side
    7,847.74x = 40,793,127.96
  5. Step 5: Solve for x
    x = 40,793,127.96/7,847.74
  6. Step 6: Final answer
    x = 5,198.07

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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.