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Finding the Fourth Proportional to 8,042.58, 12,068.19 and 3,424.50

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Solution

The fourth proportional to 8,042.58, 12,068.19 and 3,424.50 is: 5,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.58 : 12,068.19 = 3,424.50 : x
  2. Step 2: Convert to fraction form
    8,042.58/12,068.19 = 3,424.50/x
  3. Step 3: Cross multiply
    8,042.58x = 12,068.19 × 3,424.50
  4. Step 4: Simplify right side
    8,042.58x = 41,327,516.66
  5. Step 5: Solve for x
    x = 41,327,516.66/8,042.58
  6. Step 6: Final answer
    x = 5,138.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.