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Finding the Fourth Proportional to 8,495.96, 12,744.09 and 2,949.47

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Solution

The fourth proportional to 8,495.96, 12,744.09 and 2,949.47 is: 4,424.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.96 : 12,744.09 = 2,949.47 : x
  2. Step 2: Convert to fraction form
    8,495.96/12,744.09 = 2,949.47/x
  3. Step 3: Cross multiply
    8,495.96x = 12,744.09 × 2,949.47
  4. Step 4: Simplify right side
    8,495.96x = 37,588,311.13
  5. Step 5: Solve for x
    x = 37,588,311.13/8,495.96
  6. Step 6: Final answer
    x = 4,424.26

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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.