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Finding the Fourth Proportional to 10,474.24, 14,453.06 and 6,493.90

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Solution

The fourth proportional to 10,474.24, 14,453.06 and 6,493.90 is: 8,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.24 : 14,453.06 = 6,493.90 : x
  2. Step 2: Convert to fraction form
    10,474.24/14,453.06 = 6,493.90/x
  3. Step 3: Cross multiply
    10,474.24x = 14,453.06 × 6,493.90
  4. Step 4: Simplify right side
    10,474.24x = 93,856,726.33
  5. Step 5: Solve for x
    x = 93,856,726.33/10,474.24
  6. Step 6: Final answer
    x = 8,960.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.