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Finding the Fourth Proportional to 11,878.42, 16,392.18 and 7,162.96

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Solution

The fourth proportional to 11,878.42, 16,392.18 and 7,162.96 is: 9,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.42 : 16,392.18 = 7,162.96 : x
  2. Step 2: Convert to fraction form
    11,878.42/16,392.18 = 7,162.96/x
  3. Step 3: Cross multiply
    11,878.42x = 16,392.18 × 7,162.96
  4. Step 4: Simplify right side
    11,878.42x = 117,416,529.65
  5. Step 5: Solve for x
    x = 117,416,529.65/11,878.42
  6. Step 6: Final answer
    x = 9,884.86

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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.