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Finding the Fourth Proportional to 7,818.76, 11,723.82 and 2,623.24

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Solution

The fourth proportional to 7,818.76, 11,723.82 and 2,623.24 is: 3,933.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.76 : 11,723.82 = 2,623.24 : x
  2. Step 2: Convert to fraction form
    7,818.76/11,723.82 = 2,623.24/x
  3. Step 3: Cross multiply
    7,818.76x = 11,723.82 × 2,623.24
  4. Step 4: Simplify right side
    7,818.76x = 30,754,393.58
  5. Step 5: Solve for x
    x = 30,754,393.58/7,818.76
  6. Step 6: Final answer
    x = 3,933.41

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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.