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Finding the Fourth Proportional to 10,744.25, 14,827.95 and 5,964.64

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Solution

The fourth proportional to 10,744.25, 14,827.95 and 5,964.64 is: 8,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.25 : 14,827.95 = 5,964.64 : x
  2. Step 2: Convert to fraction form
    10,744.25/14,827.95 = 5,964.64/x
  3. Step 3: Cross multiply
    10,744.25x = 14,827.95 × 5,964.64
  4. Step 4: Simplify right side
    10,744.25x = 88,443,279.73
  5. Step 5: Solve for x
    x = 88,443,279.73/10,744.25
  6. Step 6: Final answer
    x = 8,231.69

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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.