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Finding the Fourth Proportional to 10,199.52, 15,299.22 and 3,625.68

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Solution

The fourth proportional to 10,199.52, 15,299.22 and 3,625.68 is: 5,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.52 : 15,299.22 = 3,625.68 : x
  2. Step 2: Convert to fraction form
    10,199.52/15,299.22 = 3,625.68/x
  3. Step 3: Cross multiply
    10,199.52x = 15,299.22 × 3,625.68
  4. Step 4: Simplify right side
    10,199.52x = 55,470,075.97
  5. Step 5: Solve for x
    x = 55,470,075.97/10,199.52
  6. Step 6: Final answer
    x = 5,438.50

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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.