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Finding the Fourth Proportional to 11,251.72, 16,878.03 and 3,856.91

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Solution

The fourth proportional to 11,251.72, 16,878.03 and 3,856.91 is: 5,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251.72 : 16,878.03 = 3,856.91 : x
  2. Step 2: Convert to fraction form
    11,251.72/16,878.03 = 3,856.91/x
  3. Step 3: Cross multiply
    11,251.72x = 16,878.03 × 3,856.91
  4. Step 4: Simplify right side
    11,251.72x = 65,097,023.40
  5. Step 5: Solve for x
    x = 65,097,023.40/11,251.72
  6. Step 6: Final answer
    x = 5,785.52

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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.