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Finding the Fourth Proportional to 8,084.24, 12,129.24 and 3,464.72

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Solution

The fourth proportional to 8,084.24, 12,129.24 and 3,464.72 is: 5,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,084.24 : 12,129.24 = 3,464.72 : x
  2. Step 2: Convert to fraction form
    8,084.24/12,129.24 = 3,464.72/x
  3. Step 3: Cross multiply
    8,084.24x = 12,129.24 × 3,464.72
  4. Step 4: Simplify right side
    8,084.24x = 42,024,420.41
  5. Step 5: Solve for x
    x = 42,024,420.41/8,084.24
  6. Step 6: Final answer
    x = 5,198.31

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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.