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Finding the Fourth Proportional to 11,863.72, 17,765.34 and 7,465.96

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Solution

The fourth proportional to 11,863.72, 17,765.34 and 7,465.96 is: 11,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.72 : 17,765.34 = 7,465.96 : x
  2. Step 2: Convert to fraction form
    11,863.72/17,765.34 = 7,465.96/x
  3. Step 3: Cross multiply
    11,863.72x = 17,765.34 × 7,465.96
  4. Step 4: Simplify right side
    11,863.72x = 132,635,317.83
  5. Step 5: Solve for x
    x = 132,635,317.83/11,863.72
  6. Step 6: Final answer
    x = 11,179.91

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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.