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Finding the Fourth Proportional to 13,760.64, 18,991.70 and 7,711.29

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Solution

The fourth proportional to 13,760.64, 18,991.70 and 7,711.29 is: 10,642.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.64 : 18,991.70 = 7,711.29 : x
  2. Step 2: Convert to fraction form
    13,760.64/18,991.70 = 7,711.29/x
  3. Step 3: Cross multiply
    13,760.64x = 18,991.70 × 7,711.29
  4. Step 4: Simplify right side
    13,760.64x = 146,450,506.29
  5. Step 5: Solve for x
    x = 146,450,506.29/13,760.64
  6. Step 6: Final answer
    x = 10,642.71

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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.