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Finding the Fourth Proportional to 10,744.64, 16,027.71 and 10,566.44

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Solution

The fourth proportional to 10,744.64, 16,027.71 and 10,566.44 is: 15,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.64 : 16,027.71 = 10,566.44 : x
  2. Step 2: Convert to fraction form
    10,744.64/16,027.71 = 10,566.44/x
  3. Step 3: Cross multiply
    10,744.64x = 16,027.71 × 10,566.44
  4. Step 4: Simplify right side
    10,744.64x = 169,355,836.05
  5. Step 5: Solve for x
    x = 169,355,836.05/10,744.64
  6. Step 6: Final answer
    x = 15,761.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.