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Finding the Fourth Proportional to 8,172.88, 11,274.39 and 5,341.90

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Solution

The fourth proportional to 8,172.88, 11,274.39 and 5,341.90 is: 7,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.88 : 11,274.39 = 5,341.90 : x
  2. Step 2: Convert to fraction form
    8,172.88/11,274.39 = 5,341.90/x
  3. Step 3: Cross multiply
    8,172.88x = 11,274.39 × 5,341.90
  4. Step 4: Simplify right side
    8,172.88x = 60,226,663.94
  5. Step 5: Solve for x
    x = 60,226,663.94/8,172.88
  6. Step 6: Final answer
    x = 7,369.09

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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.