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Finding the Fourth Proportional to 8,699.18, 11,998.67 and 6,142.82

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Solution

The fourth proportional to 8,699.18, 11,998.67 and 6,142.82 is: 8,472.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.18 : 11,998.67 = 6,142.82 : x
  2. Step 2: Convert to fraction form
    8,699.18/11,998.67 = 6,142.82/x
  3. Step 3: Cross multiply
    8,699.18x = 11,998.67 × 6,142.82
  4. Step 4: Simplify right side
    8,699.18x = 73,705,579.34
  5. Step 5: Solve for x
    x = 73,705,579.34/8,699.18
  6. Step 6: Final answer
    x = 8,472.71

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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.