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Finding the Fourth Proportional to 8,272.14, 12,387.66 and 5,795.34

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Solution

The fourth proportional to 8,272.14, 12,387.66 and 5,795.34 is: 8,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.14 : 12,387.66 = 5,795.34 : x
  2. Step 2: Convert to fraction form
    8,272.14/12,387.66 = 5,795.34/x
  3. Step 3: Cross multiply
    8,272.14x = 12,387.66 × 5,795.34
  4. Step 4: Simplify right side
    8,272.14x = 71,790,701.50
  5. Step 5: Solve for x
    x = 71,790,701.50/8,272.14
  6. Step 6: Final answer
    x = 8,678.61

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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.