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Finding the Fourth Proportional to 8,114, 11,197.32 and 4,802

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Solution

The fourth proportional to 8,114, 11,197.32 and 4,802 is: 6,626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114 : 11,197.32 = 4,802 : x
  2. Step 2: Convert to fraction form
    8,114/11,197.32 = 4,802/x
  3. Step 3: Cross multiply
    8,114x = 11,197.32 × 4,802
  4. Step 4: Simplify right side
    8,114x = 53,769,530.64
  5. Step 5: Solve for x
    x = 53,769,530.64/8,114
  6. Step 6: Final answer
    x = 6,626.76

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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.