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Finding the Fourth Proportional to 11,841.52, 17,773.19 and 6,002.23

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Solution

The fourth proportional to 11,841.52, 17,773.19 and 6,002.23 is: 9,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.52 : 17,773.19 = 6,002.23 : x
  2. Step 2: Convert to fraction form
    11,841.52/17,773.19 = 6,002.23/x
  3. Step 3: Cross multiply
    11,841.52x = 17,773.19 × 6,002.23
  4. Step 4: Simplify right side
    11,841.52x = 106,678,774.21
  5. Step 5: Solve for x
    x = 106,678,774.21/11,841.52
  6. Step 6: Final answer
    x = 9,008.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.