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Finding the Fourth Proportional to 11,296.80, 16,961.40 and 8,834.40

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Solution

The fourth proportional to 11,296.80, 16,961.40 and 8,834.40 is: 13,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.80 : 16,961.40 = 8,834.40 : x
  2. Step 2: Convert to fraction form
    11,296.80/16,961.40 = 8,834.40/x
  3. Step 3: Cross multiply
    11,296.80x = 16,961.40 × 8,834.40
  4. Step 4: Simplify right side
    11,296.80x = 149,843,792.16
  5. Step 5: Solve for x
    x = 149,843,792.16/11,296.80
  6. Step 6: Final answer
    x = 13,264.27

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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.