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Finding the Fourth Proportional to 11,863.38, 17,782.26 and 6,311.10

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Solution

The fourth proportional to 11,863.38, 17,782.26 and 6,311.10 is: 9,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.38 : 17,782.26 = 6,311.10 : x
  2. Step 2: Convert to fraction form
    11,863.38/17,782.26 = 6,311.10/x
  3. Step 3: Cross multiply
    11,863.38x = 17,782.26 × 6,311.10
  4. Step 4: Simplify right side
    11,863.38x = 112,225,621.09
  5. Step 5: Solve for x
    x = 112,225,621.09/11,863.38
  6. Step 6: Final answer
    x = 9,459.84

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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.