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Finding the Fourth Proportional to 6,787.14, 10,178.26 and 5,329.14

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Solution

The fourth proportional to 6,787.14, 10,178.26 and 5,329.14 is: 7,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.14 : 10,178.26 = 5,329.14 : x
  2. Step 2: Convert to fraction form
    6,787.14/10,178.26 = 5,329.14/x
  3. Step 3: Cross multiply
    6,787.14x = 10,178.26 × 5,329.14
  4. Step 4: Simplify right side
    6,787.14x = 54,241,372.50
  5. Step 5: Solve for x
    x = 54,241,372.50/6,787.14
  6. Step 6: Final answer
    x = 7,991.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.