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Finding the Fourth Proportional to 11,863.86, 17,782.98 and 6,020.90

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Solution

The fourth proportional to 11,863.86, 17,782.98 and 6,020.90 is: 9,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.86 : 17,782.98 = 6,020.90 : x
  2. Step 2: Convert to fraction form
    11,863.86/17,782.98 = 6,020.90/x
  3. Step 3: Cross multiply
    11,863.86x = 17,782.98 × 6,020.90
  4. Step 4: Simplify right side
    11,863.86x = 107,069,544.28
  5. Step 5: Solve for x
    x = 107,069,544.28/11,863.86
  6. Step 6: Final answer
    x = 9,024.85

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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.