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Finding the Fourth Proportional to 11,601, 17,378.46 and 5,739.72

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Solution

The fourth proportional to 11,601, 17,378.46 and 5,739.72 is: 8,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601 : 17,378.46 = 5,739.72 : x
  2. Step 2: Convert to fraction form
    11,601/17,378.46 = 5,739.72/x
  3. Step 3: Cross multiply
    11,601x = 17,378.46 × 5,739.72
  4. Step 4: Simplify right side
    11,601x = 99,747,494.43
  5. Step 5: Solve for x
    x = 99,747,494.43/11,601
  6. Step 6: Final answer
    x = 8,598.18

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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.