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Finding the Fourth Proportional to 10,294.58, 15,463.26 and 8,322.44

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Solution

The fourth proportional to 10,294.58, 15,463.26 and 8,322.44 is: 12,500.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.58 : 15,463.26 = 8,322.44 : x
  2. Step 2: Convert to fraction form
    10,294.58/15,463.26 = 8,322.44/x
  3. Step 3: Cross multiply
    10,294.58x = 15,463.26 × 8,322.44
  4. Step 4: Simplify right side
    10,294.58x = 128,691,976.24
  5. Step 5: Solve for x
    x = 128,691,976.24/10,294.58
  6. Step 6: Final answer
    x = 12,500.95

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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.