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Finding the Fourth Proportional to 7,986.92, 11,962.93 and 6,584.50

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Solution

The fourth proportional to 7,986.92, 11,962.93 and 6,584.50 is: 9,862.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.92 : 11,962.93 = 6,584.50 : x
  2. Step 2: Convert to fraction form
    7,986.92/11,962.93 = 6,584.50/x
  3. Step 3: Cross multiply
    7,986.92x = 11,962.93 × 6,584.50
  4. Step 4: Simplify right side
    7,986.92x = 78,769,930.99
  5. Step 5: Solve for x
    x = 78,769,930.99/7,986.92
  6. Step 6: Final answer
    x = 9,862.37

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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.