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Finding the Fourth Proportional to 11,863.24, 17,794.81 and 3,098.10

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Solution

The fourth proportional to 11,863.24, 17,794.81 and 3,098.10 is: 4,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.24 : 17,794.81 = 3,098.10 : x
  2. Step 2: Convert to fraction form
    11,863.24/17,794.81 = 3,098.10/x
  3. Step 3: Cross multiply
    11,863.24x = 17,794.81 × 3,098.10
  4. Step 4: Simplify right side
    11,863.24x = 55,130,100.86
  5. Step 5: Solve for x
    x = 55,130,100.86/11,863.24
  6. Step 6: Final answer
    x = 4,647.14

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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.