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Finding the Fourth Proportional to 11,567.80, 17,360.34 and 7,861.24

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Solution

The fourth proportional to 11,567.80, 17,360.34 and 7,861.24 is: 11,797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.80 : 17,360.34 = 7,861.24 : x
  2. Step 2: Convert to fraction form
    11,567.80/17,360.34 = 7,861.24/x
  3. Step 3: Cross multiply
    11,567.80x = 17,360.34 × 7,861.24
  4. Step 4: Simplify right side
    11,567.80x = 136,473,799.22
  5. Step 5: Solve for x
    x = 136,473,799.22/11,567.80
  6. Step 6: Final answer
    x = 11,797.73

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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.