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Finding the Fourth Proportional to 7,818.32, 11,727.48 and 7,299.92

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Solution

The fourth proportional to 7,818.32, 11,727.48 and 7,299.92 is: 10,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.32 : 11,727.48 = 7,299.92 : x
  2. Step 2: Convert to fraction form
    7,818.32/11,727.48 = 7,299.92/x
  3. Step 3: Cross multiply
    7,818.32x = 11,727.48 × 7,299.92
  4. Step 4: Simplify right side
    7,818.32x = 85,609,665.80
  5. Step 5: Solve for x
    x = 85,609,665.80/7,818.32
  6. Step 6: Final answer
    x = 10,949.88

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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.