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Finding the Fourth Proportional to 7,846.11, 11,773.77 and 2,919.18

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Solution

The fourth proportional to 7,846.11, 11,773.77 and 2,919.18 is: 4,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.11 : 11,773.77 = 2,919.18 : x
  2. Step 2: Convert to fraction form
    7,846.11/11,773.77 = 2,919.18/x
  3. Step 3: Cross multiply
    7,846.11x = 11,773.77 × 2,919.18
  4. Step 4: Simplify right side
    7,846.11x = 34,369,753.91
  5. Step 5: Solve for x
    x = 34,369,753.91/7,846.11
  6. Step 6: Final answer
    x = 4,380.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.