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Finding the Fourth Proportional to 8,270.02, 11,414.49 and 5,086.07

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Solution

The fourth proportional to 8,270.02, 11,414.49 and 5,086.07 is: 7,019.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.02 : 11,414.49 = 5,086.07 : x
  2. Step 2: Convert to fraction form
    8,270.02/11,414.49 = 5,086.07/x
  3. Step 3: Cross multiply
    8,270.02x = 11,414.49 × 5,086.07
  4. Step 4: Simplify right side
    8,270.02x = 58,054,926.02
  5. Step 5: Solve for x
    x = 58,054,926.02/8,270.02
  6. Step 6: Final answer
    x = 7,019.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.