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Finding the Fourth Proportional to 8,178.96, 11,280.88 and 5,192.20

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Solution

The fourth proportional to 8,178.96, 11,280.88 and 5,192.20 is: 7,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.96 : 11,280.88 = 5,192.20 : x
  2. Step 2: Convert to fraction form
    8,178.96/11,280.88 = 5,192.20/x
  3. Step 3: Cross multiply
    8,178.96x = 11,280.88 × 5,192.20
  4. Step 4: Simplify right side
    8,178.96x = 58,572,585.14
  5. Step 5: Solve for x
    x = 58,572,585.14/8,178.96
  6. Step 6: Final answer
    x = 7,161.37

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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.