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Finding the Fourth Proportional to 11,647.38, 17,472.39 and 3,856.20

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Solution

The fourth proportional to 11,647.38, 17,472.39 and 3,856.20 is: 5,784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.38 : 17,472.39 = 3,856.20 : x
  2. Step 2: Convert to fraction form
    11,647.38/17,472.39 = 3,856.20/x
  3. Step 3: Cross multiply
    11,647.38x = 17,472.39 × 3,856.20
  4. Step 4: Simplify right side
    11,647.38x = 67,377,030.32
  5. Step 5: Solve for x
    x = 67,377,030.32/11,647.38
  6. Step 6: Final answer
    x = 5,784.74

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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.