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Finding the Fourth Proportional to 10,674.23, 14,724.62 and 6,422.73

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Solution

The fourth proportional to 10,674.23, 14,724.62 and 6,422.73 is: 8,859.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.23 : 14,724.62 = 6,422.73 : x
  2. Step 2: Convert to fraction form
    10,674.23/14,724.62 = 6,422.73/x
  3. Step 3: Cross multiply
    10,674.23x = 14,724.62 × 6,422.73
  4. Step 4: Simplify right side
    10,674.23x = 94,572,311.69
  5. Step 5: Solve for x
    x = 94,572,311.69/10,674.23
  6. Step 6: Final answer
    x = 8,859.87

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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.