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Finding the Fourth Proportional to 11,589.96, 17,386.28 and 4,197.90

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Solution

The fourth proportional to 11,589.96, 17,386.28 and 4,197.90 is: 6,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.96 : 17,386.28 = 4,197.90 : x
  2. Step 2: Convert to fraction form
    11,589.96/17,386.28 = 4,197.90/x
  3. Step 3: Cross multiply
    11,589.96x = 17,386.28 × 4,197.90
  4. Step 4: Simplify right side
    11,589.96x = 72,985,843.82
  5. Step 5: Solve for x
    x = 72,985,843.82/11,589.96
  6. Step 6: Final answer
    x = 6,297.33

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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.