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Finding the Fourth Proportional to 10,489.41, 14,474.97 and 6,010.06

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Solution

The fourth proportional to 10,489.41, 14,474.97 and 6,010.06 is: 8,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.41 : 14,474.97 = 6,010.06 : x
  2. Step 2: Convert to fraction form
    10,489.41/14,474.97 = 6,010.06/x
  3. Step 3: Cross multiply
    10,489.41x = 14,474.97 × 6,010.06
  4. Step 4: Simplify right side
    10,489.41x = 86,995,438.20
  5. Step 5: Solve for x
    x = 86,995,438.20/10,489.41
  6. Step 6: Final answer
    x = 8,293.64

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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.