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Finding the Fourth Proportional to 7,250.64, 10,868.40 and 3,350.40

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Solution

The fourth proportional to 7,250.64, 10,868.40 and 3,350.40 is: 5,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250.64 : 10,868.40 = 3,350.40 : x
  2. Step 2: Convert to fraction form
    7,250.64/10,868.40 = 3,350.40/x
  3. Step 3: Cross multiply
    7,250.64x = 10,868.40 × 3,350.40
  4. Step 4: Simplify right side
    7,250.64x = 36,413,487.36
  5. Step 5: Solve for x
    x = 36,413,487.36/7,250.64
  6. Step 6: Final answer
    x = 5,022.11

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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.