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Finding the Fourth Proportional to 8,593.76, 12,891.32 and 3,663.44

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Solution

The fourth proportional to 8,593.76, 12,891.32 and 3,663.44 is: 5,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,593.76 : 12,891.32 = 3,663.44 : x
  2. Step 2: Convert to fraction form
    8,593.76/12,891.32 = 3,663.44/x
  3. Step 3: Cross multiply
    8,593.76x = 12,891.32 × 3,663.44
  4. Step 4: Simplify right side
    8,593.76x = 47,226,556.65
  5. Step 5: Solve for x
    x = 47,226,556.65/8,593.76
  6. Step 6: Final answer
    x = 5,495.45

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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.