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Finding the Fourth Proportional to 8,534.49, 11,769.79 and 5,849.61

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Solution

The fourth proportional to 8,534.49, 11,769.79 and 5,849.61 is: 8,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.49 : 11,769.79 = 5,849.61 : x
  2. Step 2: Convert to fraction form
    8,534.49/11,769.79 = 5,849.61/x
  3. Step 3: Cross multiply
    8,534.49x = 11,769.79 × 5,849.61
  4. Step 4: Simplify right side
    8,534.49x = 68,848,681.28
  5. Step 5: Solve for x
    x = 68,848,681.28/8,534.49
  6. Step 6: Final answer
    x = 8,067.11

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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.