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Finding the Fourth Proportional to 7,861.32, 10,848.91 and 4,324.80

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Solution

The fourth proportional to 7,861.32, 10,848.91 and 4,324.80 is: 5,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.32 : 10,848.91 = 4,324.80 : x
  2. Step 2: Convert to fraction form
    7,861.32/10,848.91 = 4,324.80/x
  3. Step 3: Cross multiply
    7,861.32x = 10,848.91 × 4,324.80
  4. Step 4: Simplify right side
    7,861.32x = 46,919,365.97
  5. Step 5: Solve for x
    x = 46,919,365.97/7,861.32
  6. Step 6: Final answer
    x = 5,968.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.