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Finding the Fourth Proportional to 10,856.16, 16,286.19 and 3,840.24

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Solution

The fourth proportional to 10,856.16, 16,286.19 and 3,840.24 is: 5,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.16 : 16,286.19 = 3,840.24 : x
  2. Step 2: Convert to fraction form
    10,856.16/16,286.19 = 3,840.24/x
  3. Step 3: Cross multiply
    10,856.16x = 16,286.19 × 3,840.24
  4. Step 4: Simplify right side
    10,856.16x = 62,542,878.29
  5. Step 5: Solve for x
    x = 62,542,878.29/10,856.16
  6. Step 6: Final answer
    x = 5,761.05

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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.