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Finding the Fourth Proportional to 7,107.66, 10,662.81 and 2,427.41

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Solution

The fourth proportional to 7,107.66, 10,662.81 and 2,427.41 is: 3,641.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.66 : 10,662.81 = 2,427.41 : x
  2. Step 2: Convert to fraction form
    7,107.66/10,662.81 = 2,427.41/x
  3. Step 3: Cross multiply
    7,107.66x = 10,662.81 × 2,427.41
  4. Step 4: Simplify right side
    7,107.66x = 25,883,011.62
  5. Step 5: Solve for x
    x = 25,883,011.62/7,107.66
  6. Step 6: Final answer
    x = 3,641.57

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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.