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Finding the Fourth Proportional to 8,241.51, 11,371.68 and 6,666.87

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Solution

The fourth proportional to 8,241.51, 11,371.68 and 6,666.87 is: 9,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.51 : 11,371.68 = 6,666.87 : x
  2. Step 2: Convert to fraction form
    8,241.51/11,371.68 = 6,666.87/x
  3. Step 3: Cross multiply
    8,241.51x = 11,371.68 × 6,666.87
  4. Step 4: Simplify right side
    8,241.51x = 75,813,512.24
  5. Step 5: Solve for x
    x = 75,813,512.24/8,241.51
  6. Step 6: Final answer
    x = 9,198.98

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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.