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Finding the Fourth Proportional to 11,589.89, 17,384.78 and 4,194.32

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Solution

The fourth proportional to 11,589.89, 17,384.78 and 4,194.32 is: 6,291.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.89 : 17,384.78 = 4,194.32 : x
  2. Step 2: Convert to fraction form
    11,589.89/17,384.78 = 4,194.32/x
  3. Step 3: Cross multiply
    11,589.89x = 17,384.78 × 4,194.32
  4. Step 4: Simplify right side
    11,589.89x = 72,917,222.55
  5. Step 5: Solve for x
    x = 72,917,222.55/11,589.89
  6. Step 6: Final answer
    x = 6,291.45

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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.