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Finding the Fourth Proportional to 8,024.91, 12,029.31 and 4,516.62

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Solution

The fourth proportional to 8,024.91, 12,029.31 and 4,516.62 is: 6,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.91 : 12,029.31 = 4,516.62 : x
  2. Step 2: Convert to fraction form
    8,024.91/12,029.31 = 4,516.62/x
  3. Step 3: Cross multiply
    8,024.91x = 12,029.31 × 4,516.62
  4. Step 4: Simplify right side
    8,024.91x = 54,331,822.13
  5. Step 5: Solve for x
    x = 54,331,822.13/8,024.91
  6. Step 6: Final answer
    x = 6,770.40

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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.