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Finding the Fourth Proportional to 7,322.63, 10,105.25 and 3,965.49

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Solution

The fourth proportional to 7,322.63, 10,105.25 and 3,965.49 is: 5,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.63 : 10,105.25 = 3,965.49 : x
  2. Step 2: Convert to fraction form
    7,322.63/10,105.25 = 3,965.49/x
  3. Step 3: Cross multiply
    7,322.63x = 10,105.25 × 3,965.49
  4. Step 4: Simplify right side
    7,322.63x = 40,072,248.00
  5. Step 5: Solve for x
    x = 40,072,248.00/7,322.63
  6. Step 6: Final answer
    x = 5,472.39

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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.