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Finding the Fourth Proportional to 8,117.50, 12,176.26 and 1,961.50

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Solution

The fourth proportional to 8,117.50, 12,176.26 and 1,961.50 is: 2,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.50 : 12,176.26 = 1,961.50 : x
  2. Step 2: Convert to fraction form
    8,117.50/12,176.26 = 1,961.50/x
  3. Step 3: Cross multiply
    8,117.50x = 12,176.26 × 1,961.50
  4. Step 4: Simplify right side
    8,117.50x = 23,883,733.99
  5. Step 5: Solve for x
    x = 23,883,733.99/8,117.50
  6. Step 6: Final answer
    x = 2,942.25

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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.