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Finding the Fourth Proportional to 6,989.96, 10,487.82 and 5,150.36

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Solution

The fourth proportional to 6,989.96, 10,487.82 and 5,150.36 is: 7,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.96 : 10,487.82 = 5,150.36 : x
  2. Step 2: Convert to fraction form
    6,989.96/10,487.82 = 5,150.36/x
  3. Step 3: Cross multiply
    6,989.96x = 10,487.82 × 5,150.36
  4. Step 4: Simplify right side
    6,989.96x = 54,016,048.62
  5. Step 5: Solve for x
    x = 54,016,048.62/6,989.96
  6. Step 6: Final answer
    x = 7,727.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.