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Finding the Fourth Proportional to 10,674.71, 16,007.96 and 7,377.81

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Solution

The fourth proportional to 10,674.71, 16,007.96 and 7,377.81 is: 11,063.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.71 : 16,007.96 = 7,377.81 : x
  2. Step 2: Convert to fraction form
    10,674.71/16,007.96 = 7,377.81/x
  3. Step 3: Cross multiply
    10,674.71x = 16,007.96 × 7,377.81
  4. Step 4: Simplify right side
    10,674.71x = 118,103,687.37
  5. Step 5: Solve for x
    x = 118,103,687.37/10,674.71
  6. Step 6: Final answer
    x = 11,063.88

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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.