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Finding the Fourth Proportional to 7,107.14, 10,660.41 and 2,427.57

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Solution

The fourth proportional to 7,107.14, 10,660.41 and 2,427.57 is: 3,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.14 : 10,660.41 = 2,427.57 : x
  2. Step 2: Convert to fraction form
    7,107.14/10,660.41 = 2,427.57/x
  3. Step 3: Cross multiply
    7,107.14x = 10,660.41 × 2,427.57
  4. Step 4: Simplify right side
    7,107.14x = 25,878,891.50
  5. Step 5: Solve for x
    x = 25,878,891.50/7,107.14
  6. Step 6: Final answer
    x = 3,641.25

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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.