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Finding the Fourth Proportional to 8,008, 11,051 and 4,471

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Solution

The fourth proportional to 8,008, 11,051 and 4,471 is: 6,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,008 : 11,051 = 4,471 : x
  2. Step 2: Convert to fraction form
    8,008/11,051 = 4,471/x
  3. Step 3: Cross multiply
    8,008x = 11,051 × 4,471
  4. Step 4: Simplify right side
    8,008x = 49,409,021
  5. Step 5: Solve for x
    x = 49,409,021/8,008
  6. Step 6: Final answer
    x = 6,169.96

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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.