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Finding the Fourth Proportional to 7,013.25, 10,519.88 and 3,550.50

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Solution

The fourth proportional to 7,013.25, 10,519.88 and 3,550.50 is: 5,325.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.25 : 10,519.88 = 3,550.50 : x
  2. Step 2: Convert to fraction form
    7,013.25/10,519.88 = 3,550.50/x
  3. Step 3: Cross multiply
    7,013.25x = 10,519.88 × 3,550.50
  4. Step 4: Simplify right side
    7,013.25x = 37,350,816.19
  5. Step 5: Solve for x
    x = 37,350,816.19/7,013.25
  6. Step 6: Final answer
    x = 5,325.75

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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.