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Finding the Fourth Proportional to 7,793.15, 11,682.77 and 3,407.14

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Solution

The fourth proportional to 7,793.15, 11,682.77 and 3,407.14 is: 5,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.15 : 11,682.77 = 3,407.14 : x
  2. Step 2: Convert to fraction form
    7,793.15/11,682.77 = 3,407.14/x
  3. Step 3: Cross multiply
    7,793.15x = 11,682.77 × 3,407.14
  4. Step 4: Simplify right side
    7,793.15x = 39,804,774.56
  5. Step 5: Solve for x
    x = 39,804,774.56/7,793.15
  6. Step 6: Final answer
    x = 5,107.66

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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.