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Finding the Fourth Proportional to 10,674.45, 14,732.10 and 6,197.31

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Solution

The fourth proportional to 10,674.45, 14,732.10 and 6,197.31 is: 8,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.45 : 14,732.10 = 6,197.31 : x
  2. Step 2: Convert to fraction form
    10,674.45/14,732.10 = 6,197.31/x
  3. Step 3: Cross multiply
    10,674.45x = 14,732.10 × 6,197.31
  4. Step 4: Simplify right side
    10,674.45x = 91,299,390.65
  5. Step 5: Solve for x
    x = 91,299,390.65/10,674.45
  6. Step 6: Final answer
    x = 8,553.08

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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.