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Finding the Fourth Proportional to 8,008.38, 11,051.19 and 4,471.47

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Solution

The fourth proportional to 8,008.38, 11,051.19 and 4,471.47 is: 6,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,008.38 : 11,051.19 = 4,471.47 : x
  2. Step 2: Convert to fraction form
    8,008.38/11,051.19 = 4,471.47/x
  3. Step 3: Cross multiply
    8,008.38x = 11,051.19 × 4,471.47
  4. Step 4: Simplify right side
    8,008.38x = 49,415,064.55
  5. Step 5: Solve for x
    x = 49,415,064.55/8,008.38
  6. Step 6: Final answer
    x = 6,170.42

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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.