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Finding the Fourth Proportional to 11,589.48, 17,385.12 and 5,740.20

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Solution

The fourth proportional to 11,589.48, 17,385.12 and 5,740.20 is: 8,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.48 : 17,385.12 = 5,740.20 : x
  2. Step 2: Convert to fraction form
    11,589.48/17,385.12 = 5,740.20/x
  3. Step 3: Cross multiply
    11,589.48x = 17,385.12 × 5,740.20
  4. Step 4: Simplify right side
    11,589.48x = 99,794,065.82
  5. Step 5: Solve for x
    x = 99,794,065.82/11,589.48
  6. Step 6: Final answer
    x = 8,610.75

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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.