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Finding the Fourth Proportional to 11,600.56, 15,993.84 and 9,474.04

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Solution

The fourth proportional to 11,600.56, 15,993.84 and 9,474.04 is: 13,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.56 : 15,993.84 = 9,474.04 : x
  2. Step 2: Convert to fraction form
    11,600.56/15,993.84 = 9,474.04/x
  3. Step 3: Cross multiply
    11,600.56x = 15,993.84 × 9,474.04
  4. Step 4: Simplify right side
    11,600.56x = 151,526,279.91
  5. Step 5: Solve for x
    x = 151,526,279.91/11,600.56
  6. Step 6: Final answer
    x = 13,061.98

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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.