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Finding the Fourth Proportional to 11,296.06, 16,963.53 and 6,105.58

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Solution

The fourth proportional to 11,296.06, 16,963.53 and 6,105.58 is: 9,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.06 : 16,963.53 = 6,105.58 : x
  2. Step 2: Convert to fraction form
    11,296.06/16,963.53 = 6,105.58/x
  3. Step 3: Cross multiply
    11,296.06x = 16,963.53 × 6,105.58
  4. Step 4: Simplify right side
    11,296.06x = 103,572,189.50
  5. Step 5: Solve for x
    x = 103,572,189.50/11,296.06
  6. Step 6: Final answer
    x = 9,168.88

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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.