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Finding the Fourth Proportional to 7,841.16, 11,757 and 3,682.08

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Solution

The fourth proportional to 7,841.16, 11,757 and 3,682.08 is: 5,520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.16 : 11,757 = 3,682.08 : x
  2. Step 2: Convert to fraction form
    7,841.16/11,757 = 3,682.08/x
  3. Step 3: Cross multiply
    7,841.16x = 11,757 × 3,682.08
  4. Step 4: Simplify right side
    7,841.16x = 43,290,214.56
  5. Step 5: Solve for x
    x = 43,290,214.56/7,841.16
  6. Step 6: Final answer
    x = 5,520.89

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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.