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Finding the Fourth Proportional to 8,192.38, 11,337.98 and 7,995.84

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Solution

The fourth proportional to 8,192.38, 11,337.98 and 7,995.84 is: 11,065.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.38 : 11,337.98 = 7,995.84 : x
  2. Step 2: Convert to fraction form
    8,192.38/11,337.98 = 7,995.84/x
  3. Step 3: Cross multiply
    8,192.38x = 11,337.98 × 7,995.84
  4. Step 4: Simplify right side
    8,192.38x = 90,656,674.00
  5. Step 5: Solve for x
    x = 90,656,674.00/8,192.38
  6. Step 6: Final answer
    x = 11,065.98

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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.