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Finding the Fourth Proportional to 11,589.84, 17,381.34 and 5,014.44

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Solution

The fourth proportional to 11,589.84, 17,381.34 and 5,014.44 is: 7,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.84 : 17,381.34 = 5,014.44 : x
  2. Step 2: Convert to fraction form
    11,589.84/17,381.34 = 5,014.44/x
  3. Step 3: Cross multiply
    11,589.84x = 17,381.34 × 5,014.44
  4. Step 4: Simplify right side
    11,589.84x = 87,157,686.55
  5. Step 5: Solve for x
    x = 87,157,686.55/11,589.84
  6. Step 6: Final answer
    x = 7,520.18

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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.