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Finding the Fourth Proportional to 7,912.32, 11,853.92 and 4,019.52

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Solution

The fourth proportional to 7,912.32, 11,853.92 and 4,019.52 is: 6,021.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.32 : 11,853.92 = 4,019.52 : x
  2. Step 2: Convert to fraction form
    7,912.32/11,853.92 = 4,019.52/x
  3. Step 3: Cross multiply
    7,912.32x = 11,853.92 × 4,019.52
  4. Step 4: Simplify right side
    7,912.32x = 47,647,068.52
  5. Step 5: Solve for x
    x = 47,647,068.52/7,912.32
  6. Step 6: Final answer
    x = 6,021.88

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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.