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Finding the Fourth Proportional to 10,674.26, 16,009.86 and 6,713.43

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Solution

The fourth proportional to 10,674.26, 16,009.86 and 6,713.43 is: 10,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.26 : 16,009.86 = 6,713.43 : x
  2. Step 2: Convert to fraction form
    10,674.26/16,009.86 = 6,713.43/x
  3. Step 3: Cross multiply
    10,674.26x = 16,009.86 × 6,713.43
  4. Step 4: Simplify right side
    10,674.26x = 107,481,074.42
  5. Step 5: Solve for x
    x = 107,481,074.42/10,674.26
  6. Step 6: Final answer
    x = 10,069.19

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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.