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Finding the Fourth Proportional to 10,686.27, 16,034.09 and 5,687.46

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Solution

The fourth proportional to 10,686.27, 16,034.09 and 5,687.46 is: 8,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.27 : 16,034.09 = 5,687.46 : x
  2. Step 2: Convert to fraction form
    10,686.27/16,034.09 = 5,687.46/x
  3. Step 3: Cross multiply
    10,686.27x = 16,034.09 × 5,687.46
  4. Step 4: Simplify right side
    10,686.27x = 91,193,245.51
  5. Step 5: Solve for x
    x = 91,193,245.51/10,686.27
  6. Step 6: Final answer
    x = 8,533.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.