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Finding the Fourth Proportional to 11,882.12, 17,807.42 and 6,323.49

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Solution

The fourth proportional to 11,882.12, 17,807.42 and 6,323.49 is: 9,476.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.12 : 17,807.42 = 6,323.49 : x
  2. Step 2: Convert to fraction form
    11,882.12/17,807.42 = 6,323.49/x
  3. Step 3: Cross multiply
    11,882.12x = 17,807.42 × 6,323.49
  4. Step 4: Simplify right side
    11,882.12x = 112,605,058.10
  5. Step 5: Solve for x
    x = 112,605,058.10/11,882.12
  6. Step 6: Final answer
    x = 9,476.85

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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.