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Finding the Fourth Proportional to 7,810, 11,716.62 and 3,193

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Solution

The fourth proportional to 7,810, 11,716.62 and 3,193 is: 4,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810 : 11,716.62 = 3,193 : x
  2. Step 2: Convert to fraction form
    7,810/11,716.62 = 3,193/x
  3. Step 3: Cross multiply
    7,810x = 11,716.62 × 3,193
  4. Step 4: Simplify right side
    7,810x = 37,411,167.66
  5. Step 5: Solve for x
    x = 37,411,167.66/7,810
  6. Step 6: Final answer
    x = 4,790.16

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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.