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Finding the Fourth Proportional to 8,192.68, 11,305.38 and 5,401.96

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Solution

The fourth proportional to 8,192.68, 11,305.38 and 5,401.96 is: 7,454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.68 : 11,305.38 = 5,401.96 : x
  2. Step 2: Convert to fraction form
    8,192.68/11,305.38 = 5,401.96/x
  3. Step 3: Cross multiply
    8,192.68x = 11,305.38 × 5,401.96
  4. Step 4: Simplify right side
    8,192.68x = 61,071,210.54
  5. Step 5: Solve for x
    x = 61,071,210.54/8,192.68
  6. Step 6: Final answer
    x = 7,454.36

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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.