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Finding the Fourth Proportional to 8,012.98, 12,021.63 and 7,241.86

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Solution

The fourth proportional to 8,012.98, 12,021.63 and 7,241.86 is: 10,864.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.98 : 12,021.63 = 7,241.86 : x
  2. Step 2: Convert to fraction form
    8,012.98/12,021.63 = 7,241.86/x
  3. Step 3: Cross multiply
    8,012.98x = 12,021.63 × 7,241.86
  4. Step 4: Simplify right side
    8,012.98x = 87,058,961.43
  5. Step 5: Solve for x
    x = 87,058,961.43/8,012.98
  6. Step 6: Final answer
    x = 10,864.74

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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.