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Finding the Fourth Proportional to 8,589.12, 11,849 and 5,940.24

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Solution

The fourth proportional to 8,589.12, 11,849 and 5,940.24 is: 8,194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.12 : 11,849 = 5,940.24 : x
  2. Step 2: Convert to fraction form
    8,589.12/11,849 = 5,940.24/x
  3. Step 3: Cross multiply
    8,589.12x = 11,849 × 5,940.24
  4. Step 4: Simplify right side
    8,589.12x = 70,385,903.76
  5. Step 5: Solve for x
    x = 70,385,903.76/8,589.12
  6. Step 6: Final answer
    x = 8,194.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.