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Finding the Fourth Proportional to 8,311.74, 12,467.51 and 2,388.77

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Solution

The fourth proportional to 8,311.74, 12,467.51 and 2,388.77 is: 3,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.74 : 12,467.51 = 2,388.77 : x
  2. Step 2: Convert to fraction form
    8,311.74/12,467.51 = 2,388.77/x
  3. Step 3: Cross multiply
    8,311.74x = 12,467.51 × 2,388.77
  4. Step 4: Simplify right side
    8,311.74x = 29,781,939.58
  5. Step 5: Solve for x
    x = 29,781,939.58/8,311.74
  6. Step 6: Final answer
    x = 3,583.12

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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.