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Finding the Fourth Proportional to 10,489.68, 14,474.07 and 6,012.54

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Solution

The fourth proportional to 10,489.68, 14,474.07 and 6,012.54 is: 8,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.68 : 14,474.07 = 6,012.54 : x
  2. Step 2: Convert to fraction form
    10,489.68/14,474.07 = 6,012.54/x
  3. Step 3: Cross multiply
    10,489.68x = 14,474.07 × 6,012.54
  4. Step 4: Simplify right side
    10,489.68x = 87,025,924.84
  5. Step 5: Solve for x
    x = 87,025,924.84/10,489.68
  6. Step 6: Final answer
    x = 8,296.34

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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.