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Finding the Fourth Proportional to 7,991.36, 11,991.14 and 3,314.82

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Solution

The fourth proportional to 7,991.36, 11,991.14 and 3,314.82 is: 4,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,991.36 : 11,991.14 = 3,314.82 : x
  2. Step 2: Convert to fraction form
    7,991.36/11,991.14 = 3,314.82/x
  3. Step 3: Cross multiply
    7,991.36x = 11,991.14 × 3,314.82
  4. Step 4: Simplify right side
    7,991.36x = 39,748,511.52
  5. Step 5: Solve for x
    x = 39,748,511.52/7,991.36
  6. Step 6: Final answer
    x = 4,973.94

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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.