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Finding the Fourth Proportional to 8,042.52, 12,063.20 and 2,705.74

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Solution

The fourth proportional to 8,042.52, 12,063.20 and 2,705.74 is: 4,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.52 : 12,063.20 = 2,705.74 : x
  2. Step 2: Convert to fraction form
    8,042.52/12,063.20 = 2,705.74/x
  3. Step 3: Cross multiply
    8,042.52x = 12,063.20 × 2,705.74
  4. Step 4: Simplify right side
    8,042.52x = 32,639,839.08
  5. Step 5: Solve for x
    x = 32,639,839.08/8,042.52
  6. Step 6: Final answer
    x = 4,058.41

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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.