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Finding the Fourth Proportional to 10,856.91, 16,288.47 and 3,838.68

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Solution

The fourth proportional to 10,856.91, 16,288.47 and 3,838.68 is: 5,759.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.91 : 16,288.47 = 3,838.68 : x
  2. Step 2: Convert to fraction form
    10,856.91/16,288.47 = 3,838.68/x
  3. Step 3: Cross multiply
    10,856.91x = 16,288.47 × 3,838.68
  4. Step 4: Simplify right side
    10,856.91x = 62,526,224.02
  5. Step 5: Solve for x
    x = 62,526,224.02/10,856.91
  6. Step 6: Final answer
    x = 5,759.12

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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.