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Finding the Fourth Proportional to 7,212.50, 9,953.28 and 3,900.50

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Solution

The fourth proportional to 7,212.50, 9,953.28 and 3,900.50 is: 5,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.50 : 9,953.28 = 3,900.50 : x
  2. Step 2: Convert to fraction form
    7,212.50/9,953.28 = 3,900.50/x
  3. Step 3: Cross multiply
    7,212.50x = 9,953.28 × 3,900.50
  4. Step 4: Simplify right side
    7,212.50x = 38,822,768.64
  5. Step 5: Solve for x
    x = 38,822,768.64/7,212.50
  6. Step 6: Final answer
    x = 5,382.71

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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.