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Finding the Fourth Proportional to 11,647.72, 17,471.72 and 3,856.60

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Solution

The fourth proportional to 11,647.72, 17,471.72 and 3,856.60 is: 5,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647.72 : 17,471.72 = 3,856.60 : x
  2. Step 2: Convert to fraction form
    11,647.72/17,471.72 = 3,856.60/x
  3. Step 3: Cross multiply
    11,647.72x = 17,471.72 × 3,856.60
  4. Step 4: Simplify right side
    11,647.72x = 67,381,435.35
  5. Step 5: Solve for x
    x = 67,381,435.35/11,647.72
  6. Step 6: Final answer
    x = 5,784.95

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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.