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Finding the Fourth Proportional to 7,822.98, 11,742.39 and 6,939.27

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Solution

The fourth proportional to 7,822.98, 11,742.39 and 6,939.27 is: 10,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.98 : 11,742.39 = 6,939.27 : x
  2. Step 2: Convert to fraction form
    7,822.98/11,742.39 = 6,939.27/x
  3. Step 3: Cross multiply
    7,822.98x = 11,742.39 × 6,939.27
  4. Step 4: Simplify right side
    7,822.98x = 81,483,614.66
  5. Step 5: Solve for x
    x = 81,483,614.66/7,822.98
  6. Step 6: Final answer
    x = 10,415.93

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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.