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Finding the Fourth Proportional to 11,164.52, 16,746.78 and 8,105.96

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Solution

The fourth proportional to 11,164.52, 16,746.78 and 8,105.96 is: 12,158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.52 : 16,746.78 = 8,105.96 : x
  2. Step 2: Convert to fraction form
    11,164.52/16,746.78 = 8,105.96/x
  3. Step 3: Cross multiply
    11,164.52x = 16,746.78 × 8,105.96
  4. Step 4: Simplify right side
    11,164.52x = 135,748,728.81
  5. Step 5: Solve for x
    x = 135,748,728.81/11,164.52
  6. Step 6: Final answer
    x = 12,158.94

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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.