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Finding the Fourth Proportional to 7,012.57, 9,677.36 and 3,868.75

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Solution

The fourth proportional to 7,012.57, 9,677.36 and 3,868.75 is: 5,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.57 : 9,677.36 = 3,868.75 : x
  2. Step 2: Convert to fraction form
    7,012.57/9,677.36 = 3,868.75/x
  3. Step 3: Cross multiply
    7,012.57x = 9,677.36 × 3,868.75
  4. Step 4: Simplify right side
    7,012.57x = 37,439,286.50
  5. Step 5: Solve for x
    x = 37,439,286.50/7,012.57
  6. Step 6: Final answer
    x = 5,338.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.