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Finding the Fourth Proportional to 10,765.14, 14,855.97 and 6,049.42

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Solution

The fourth proportional to 10,765.14, 14,855.97 and 6,049.42 is: 8,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.14 : 14,855.97 = 6,049.42 : x
  2. Step 2: Convert to fraction form
    10,765.14/14,855.97 = 6,049.42/x
  3. Step 3: Cross multiply
    10,765.14x = 14,855.97 × 6,049.42
  4. Step 4: Simplify right side
    10,765.14x = 89,870,002.04
  5. Step 5: Solve for x
    x = 89,870,002.04/10,765.14
  6. Step 6: Final answer
    x = 8,348.24

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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.