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Finding the Fourth Proportional to 10,807.80, 14,914.21 and 6,092.38

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Solution

The fourth proportional to 10,807.80, 14,914.21 and 6,092.38 is: 8,407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.80 : 14,914.21 = 6,092.38 : x
  2. Step 2: Convert to fraction form
    10,807.80/14,914.21 = 6,092.38/x
  3. Step 3: Cross multiply
    10,807.80x = 14,914.21 × 6,092.38
  4. Step 4: Simplify right side
    10,807.80x = 90,863,034.72
  5. Step 5: Solve for x
    x = 90,863,034.72/10,807.80
  6. Step 6: Final answer
    x = 8,407.17

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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.