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Finding the Fourth Proportional to 10,633.92, 14,674.59 and 6,385.44

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Solution

The fourth proportional to 10,633.92, 14,674.59 and 6,385.44 is: 8,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.92 : 14,674.59 = 6,385.44 : x
  2. Step 2: Convert to fraction form
    10,633.92/14,674.59 = 6,385.44/x
  3. Step 3: Cross multiply
    10,633.92x = 14,674.59 × 6,385.44
  4. Step 4: Simplify right side
    10,633.92x = 93,703,713.97
  5. Step 5: Solve for x
    x = 93,703,713.97/10,633.92
  6. Step 6: Final answer
    x = 8,811.78

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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.