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Finding the Fourth Proportional to 11,796.16, 17,685.66 and 5,956.90

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Solution

The fourth proportional to 11,796.16, 17,685.66 and 5,956.90 is: 8,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.16 : 17,685.66 = 5,956.90 : x
  2. Step 2: Convert to fraction form
    11,796.16/17,685.66 = 5,956.90/x
  3. Step 3: Cross multiply
    11,796.16x = 17,685.66 × 5,956.90
  4. Step 4: Simplify right side
    11,796.16x = 105,351,708.05
  5. Step 5: Solve for x
    x = 105,351,708.05/11,796.16
  6. Step 6: Final answer
    x = 8,931.02

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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.