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Finding the Fourth Proportional to 8,078, 12,110.44 and 3,464.24

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Solution

The fourth proportional to 8,078, 12,110.44 and 3,464.24 is: 5,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078 : 12,110.44 = 3,464.24 : x
  2. Step 2: Convert to fraction form
    8,078/12,110.44 = 3,464.24/x
  3. Step 3: Cross multiply
    8,078x = 12,110.44 × 3,464.24
  4. Step 4: Simplify right side
    8,078x = 41,953,470.67
  5. Step 5: Solve for x
    x = 41,953,470.67/8,078
  6. Step 6: Final answer
    x = 5,193.55

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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.