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Finding the Fourth Proportional to 10,689.44, 14,757.81 and 6,713.96

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Solution

The fourth proportional to 10,689.44, 14,757.81 and 6,713.96 is: 9,269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.44 : 14,757.81 = 6,713.96 : x
  2. Step 2: Convert to fraction form
    10,689.44/14,757.81 = 6,713.96/x
  3. Step 3: Cross multiply
    10,689.44x = 14,757.81 × 6,713.96
  4. Step 4: Simplify right side
    10,689.44x = 99,083,346.03
  5. Step 5: Solve for x
    x = 99,083,346.03/10,689.44
  6. Step 6: Final answer
    x = 9,269.27

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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.