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Finding the Fourth Proportional to 11,451.83, 15,794.78 and 9,861.24

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Solution

The fourth proportional to 11,451.83, 15,794.78 and 9,861.24 is: 13,600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.83 : 15,794.78 = 9,861.24 : x
  2. Step 2: Convert to fraction form
    11,451.83/15,794.78 = 9,861.24/x
  3. Step 3: Cross multiply
    11,451.83x = 15,794.78 × 9,861.24
  4. Step 4: Simplify right side
    11,451.83x = 155,756,181.72
  5. Step 5: Solve for x
    x = 155,756,181.72/11,451.83
  6. Step 6: Final answer
    x = 13,600.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.