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Finding the Fourth Proportional to 8,276.64, 12,421.20 and 5,161.20

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Solution

The fourth proportional to 8,276.64, 12,421.20 and 5,161.20 is: 7,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.64 : 12,421.20 = 5,161.20 : x
  2. Step 2: Convert to fraction form
    8,276.64/12,421.20 = 5,161.20/x
  3. Step 3: Cross multiply
    8,276.64x = 12,421.20 × 5,161.20
  4. Step 4: Simplify right side
    8,276.64x = 64,108,297.44
  5. Step 5: Solve for x
    x = 64,108,297.44/8,276.64
  6. Step 6: Final answer
    x = 7,745.69

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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.