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Finding the Fourth Proportional to 8,164.72, 11,269.38 and 5,023.72

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Solution

The fourth proportional to 8,164.72, 11,269.38 and 5,023.72 is: 6,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.72 : 11,269.38 = 5,023.72 : x
  2. Step 2: Convert to fraction form
    8,164.72/11,269.38 = 5,023.72/x
  3. Step 3: Cross multiply
    8,164.72x = 11,269.38 × 5,023.72
  4. Step 4: Simplify right side
    8,164.72x = 56,614,209.69
  5. Step 5: Solve for x
    x = 56,614,209.69/8,164.72
  6. Step 6: Final answer
    x = 6,934.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.