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Finding the Fourth Proportional to 11,778.27, 17,670.59 and 3,882.28

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Solution

The fourth proportional to 11,778.27, 17,670.59 and 3,882.28 is: 5,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.27 : 17,670.59 = 3,882.28 : x
  2. Step 2: Convert to fraction form
    11,778.27/17,670.59 = 3,882.28/x
  3. Step 3: Cross multiply
    11,778.27x = 17,670.59 × 3,882.28
  4. Step 4: Simplify right side
    11,778.27x = 68,602,178.15
  5. Step 5: Solve for x
    x = 68,602,178.15/11,778.27
  6. Step 6: Final answer
    x = 5,824.47

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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.