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Finding the Fourth Proportional to 8,192.68, 11,314.98 and 5,550.76

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Solution

The fourth proportional to 8,192.68, 11,314.98 and 5,550.76 is: 7,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.68 : 11,314.98 = 5,550.76 : x
  2. Step 2: Convert to fraction form
    8,192.68/11,314.98 = 5,550.76/x
  3. Step 3: Cross multiply
    8,192.68x = 11,314.98 × 5,550.76
  4. Step 4: Simplify right side
    8,192.68x = 62,806,738.38
  5. Step 5: Solve for x
    x = 62,806,738.38/8,192.68
  6. Step 6: Final answer
    x = 7,666.20

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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.