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Finding the Fourth Proportional to 11,589.48, 17,384.22 and 4,192.56

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Solution

The fourth proportional to 11,589.48, 17,384.22 and 4,192.56 is: 6,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.48 : 17,384.22 = 4,192.56 : x
  2. Step 2: Convert to fraction form
    11,589.48/17,384.22 = 4,192.56/x
  3. Step 3: Cross multiply
    11,589.48x = 17,384.22 × 4,192.56
  4. Step 4: Simplify right side
    11,589.48x = 72,884,385.40
  5. Step 5: Solve for x
    x = 72,884,385.40/11,589.48
  6. Step 6: Final answer
    x = 6,288.84

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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.