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Finding the Fourth Proportional to 7,988.92, 11,965.92 and 6,586.50

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Solution

The fourth proportional to 7,988.92, 11,965.92 and 6,586.50 is: 9,865.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,988.92 : 11,965.92 = 6,586.50 : x
  2. Step 2: Convert to fraction form
    7,988.92/11,965.92 = 6,586.50/x
  3. Step 3: Cross multiply
    7,988.92x = 11,965.92 × 6,586.50
  4. Step 4: Simplify right side
    7,988.92x = 78,813,532.08
  5. Step 5: Solve for x
    x = 78,813,532.08/7,988.92
  6. Step 6: Final answer
    x = 9,865.36

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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.