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Finding the Fourth Proportional to 10,744.87, 14,827.68 and 5,964.53

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Solution

The fourth proportional to 10,744.87, 14,827.68 and 5,964.53 is: 8,230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.87 : 14,827.68 = 5,964.53 : x
  2. Step 2: Convert to fraction form
    10,744.87/14,827.68 = 5,964.53/x
  3. Step 3: Cross multiply
    10,744.87x = 14,827.68 × 5,964.53
  4. Step 4: Simplify right side
    10,744.87x = 88,440,142.19
  5. Step 5: Solve for x
    x = 88,440,142.19/10,744.87
  6. Step 6: Final answer
    x = 8,230.92

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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.