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Finding the Fourth Proportional to 7,990.92, 11,968.92 and 6,588.50

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Solution

The fourth proportional to 7,990.92, 11,968.92 and 6,588.50 is: 9,868.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,990.92 : 11,968.92 = 6,588.50 : x
  2. Step 2: Convert to fraction form
    7,990.92/11,968.92 = 6,588.50/x
  3. Step 3: Cross multiply
    7,990.92x = 11,968.92 × 6,588.50
  4. Step 4: Simplify right side
    7,990.92x = 78,857,229.42
  5. Step 5: Solve for x
    x = 78,857,229.42/7,990.92
  6. Step 6: Final answer
    x = 9,868.35

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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.