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Finding the Fourth Proportional to 7,844.61, 11,769.21 and 3,162.21

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Solution

The fourth proportional to 7,844.61, 11,769.21 and 3,162.21 is: 4,744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.61 : 11,769.21 = 3,162.21 : x
  2. Step 2: Convert to fraction form
    7,844.61/11,769.21 = 3,162.21/x
  3. Step 3: Cross multiply
    7,844.61x = 11,769.21 × 3,162.21
  4. Step 4: Simplify right side
    7,844.61x = 37,216,713.55
  5. Step 5: Solve for x
    x = 37,216,713.55/7,844.61
  6. Step 6: Final answer
    x = 4,744.24

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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.