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Finding the Fourth Proportional to 10,744.60, 14,827.31 and 5,964.27

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Solution

The fourth proportional to 10,744.60, 14,827.31 and 5,964.27 is: 8,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.60 : 14,827.31 = 5,964.27 : x
  2. Step 2: Convert to fraction form
    10,744.60/14,827.31 = 5,964.27/x
  3. Step 3: Cross multiply
    10,744.60x = 14,827.31 × 5,964.27
  4. Step 4: Simplify right side
    10,744.60x = 88,434,080.21
  5. Step 5: Solve for x
    x = 88,434,080.21/10,744.60
  6. Step 6: Final answer
    x = 8,230.56

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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.