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Finding the Fourth Proportional to 7,394.50, 10,203.86 and 4,037.38

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Solution

The fourth proportional to 7,394.50, 10,203.86 and 4,037.38 is: 5,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,394.50 : 10,203.86 = 4,037.38 : x
  2. Step 2: Convert to fraction form
    7,394.50/10,203.86 = 4,037.38/x
  3. Step 3: Cross multiply
    7,394.50x = 10,203.86 × 4,037.38
  4. Step 4: Simplify right side
    7,394.50x = 41,196,819.36
  5. Step 5: Solve for x
    x = 41,196,819.36/7,394.50
  6. Step 6: Final answer
    x = 5,571.28

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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.