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Finding the Fourth Proportional to 10,674.57, 14,725.75 and 6,694.23

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Solution

The fourth proportional to 10,674.57, 14,725.75 and 6,694.23 is: 9,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.57 : 14,725.75 = 6,694.23 : x
  2. Step 2: Convert to fraction form
    10,674.57/14,725.75 = 6,694.23/x
  3. Step 3: Cross multiply
    10,674.57x = 14,725.75 × 6,694.23
  4. Step 4: Simplify right side
    10,674.57x = 98,577,557.42
  5. Step 5: Solve for x
    x = 98,577,557.42/10,674.57
  6. Step 6: Final answer
    x = 9,234.80

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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.