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Finding the Fourth Proportional to 7,791.81, 11,690.19 and 3,347.34

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Solution

The fourth proportional to 7,791.81, 11,690.19 and 3,347.34 is: 5,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.81 : 11,690.19 = 3,347.34 : x
  2. Step 2: Convert to fraction form
    7,791.81/11,690.19 = 3,347.34/x
  3. Step 3: Cross multiply
    7,791.81x = 11,690.19 × 3,347.34
  4. Step 4: Simplify right side
    7,791.81x = 39,131,040.59
  5. Step 5: Solve for x
    x = 39,131,040.59/7,791.81
  6. Step 6: Final answer
    x = 5,022.07

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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.