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Finding the Fourth Proportional to 8,172.82, 11,270.80 and 5,339.29

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Solution

The fourth proportional to 8,172.82, 11,270.80 and 5,339.29 is: 7,363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.82 : 11,270.80 = 5,339.29 : x
  2. Step 2: Convert to fraction form
    8,172.82/11,270.80 = 5,339.29/x
  3. Step 3: Cross multiply
    8,172.82x = 11,270.80 × 5,339.29
  4. Step 4: Simplify right side
    8,172.82x = 60,178,013.38
  5. Step 5: Solve for x
    x = 60,178,013.38/8,172.82
  6. Step 6: Final answer
    x = 7,363.19

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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.