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Finding the Fourth Proportional to 7,843.62, 11,768.48 and 3,457.98

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Solution

The fourth proportional to 7,843.62, 11,768.48 and 3,457.98 is: 5,188.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.62 : 11,768.48 = 3,457.98 : x
  2. Step 2: Convert to fraction form
    7,843.62/11,768.48 = 3,457.98/x
  3. Step 3: Cross multiply
    7,843.62x = 11,768.48 × 3,457.98
  4. Step 4: Simplify right side
    7,843.62x = 40,695,168.47
  5. Step 5: Solve for x
    x = 40,695,168.47/7,843.62
  6. Step 6: Final answer
    x = 5,188.31

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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.