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Finding the Fourth Proportional to 7,841.67, 11,760.35 and 5,631.99

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Solution

The fourth proportional to 7,841.67, 11,760.35 and 5,631.99 is: 8,446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.67 : 11,760.35 = 5,631.99 : x
  2. Step 2: Convert to fraction form
    7,841.67/11,760.35 = 5,631.99/x
  3. Step 3: Cross multiply
    7,841.67x = 11,760.35 × 5,631.99
  4. Step 4: Simplify right side
    7,841.67x = 66,234,145.44
  5. Step 5: Solve for x
    x = 66,234,145.44/7,841.67
  6. Step 6: Final answer
    x = 8,446.43

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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.