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Finding the Fourth Proportional to 11,956.32, 17,934.26 and 4,164.93

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Solution

The fourth proportional to 11,956.32, 17,934.26 and 4,164.93 is: 6,247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,956.32 : 17,934.26 = 4,164.93 : x
  2. Step 2: Convert to fraction form
    11,956.32/17,934.26 = 4,164.93/x
  3. Step 3: Cross multiply
    11,956.32x = 17,934.26 × 4,164.93
  4. Step 4: Simplify right side
    11,956.32x = 74,694,937.50
  5. Step 5: Solve for x
    x = 74,694,937.50/11,956.32
  6. Step 6: Final answer
    x = 6,247.32

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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.