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Finding the Fourth Proportional to 11,164.64, 16,749.69 and 8,005.79

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Solution

The fourth proportional to 11,164.64, 16,749.69 and 8,005.79 is: 12,010.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.64 : 16,749.69 = 8,005.79 : x
  2. Step 2: Convert to fraction form
    11,164.64/16,749.69 = 8,005.79/x
  3. Step 3: Cross multiply
    11,164.64x = 16,749.69 × 8,005.79
  4. Step 4: Simplify right side
    11,164.64x = 134,094,418.34
  5. Step 5: Solve for x
    x = 134,094,418.34/11,164.64
  6. Step 6: Final answer
    x = 12,010.64

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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.