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Finding the Fourth Proportional to 7,891.95, 11,842.08 and 3,215.42

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Solution

The fourth proportional to 7,891.95, 11,842.08 and 3,215.42 is: 4,824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.95 : 11,842.08 = 3,215.42 : x
  2. Step 2: Convert to fraction form
    7,891.95/11,842.08 = 3,215.42/x
  3. Step 3: Cross multiply
    7,891.95x = 11,842.08 × 3,215.42
  4. Step 4: Simplify right side
    7,891.95x = 38,077,260.87
  5. Step 5: Solve for x
    x = 38,077,260.87/7,891.95
  6. Step 6: Final answer
    x = 4,824.82

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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.