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Finding the Fourth Proportional to 8,663.10, 12,994.65 and 5,163.90

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Solution

The fourth proportional to 8,663.10, 12,994.65 and 5,163.90 is: 7,745.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.10 : 12,994.65 = 5,163.90 : x
  2. Step 2: Convert to fraction form
    8,663.10/12,994.65 = 5,163.90/x
  3. Step 3: Cross multiply
    8,663.10x = 12,994.65 × 5,163.90
  4. Step 4: Simplify right side
    8,663.10x = 67,103,073.14
  5. Step 5: Solve for x
    x = 67,103,073.14/8,663.10
  6. Step 6: Final answer
    x = 7,745.85

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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.