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Finding the Fourth Proportional to 10,286.84, 14,195.97 and 5,749.34

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Solution

The fourth proportional to 10,286.84, 14,195.97 and 5,749.34 is: 7,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,286.84 : 14,195.97 = 5,749.34 : x
  2. Step 2: Convert to fraction form
    10,286.84/14,195.97 = 5,749.34/x
  3. Step 3: Cross multiply
    10,286.84x = 14,195.97 × 5,749.34
  4. Step 4: Simplify right side
    10,286.84x = 81,617,387.18
  5. Step 5: Solve for x
    x = 81,617,387.18/10,286.84
  6. Step 6: Final answer
    x = 7,934.16

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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.