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Finding the Fourth Proportional to 11,853.14, 17,790.42 and 6,311.12

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Solution

The fourth proportional to 11,853.14, 17,790.42 and 6,311.12 is: 9,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.14 : 17,790.42 = 6,311.12 : x
  2. Step 2: Convert to fraction form
    11,853.14/17,790.42 = 6,311.12/x
  3. Step 3: Cross multiply
    11,853.14x = 17,790.42 × 6,311.12
  4. Step 4: Simplify right side
    11,853.14x = 112,277,475.47
  5. Step 5: Solve for x
    x = 112,277,475.47/11,853.14
  6. Step 6: Final answer
    x = 9,472.38

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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.