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Finding the Fourth Proportional to 10,604.75, 15,907.16 and 3,584.82

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Solution

The fourth proportional to 10,604.75, 15,907.16 and 3,584.82 is: 5,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.75 : 15,907.16 = 3,584.82 : x
  2. Step 2: Convert to fraction form
    10,604.75/15,907.16 = 3,584.82/x
  3. Step 3: Cross multiply
    10,604.75x = 15,907.16 × 3,584.82
  4. Step 4: Simplify right side
    10,604.75x = 57,024,296.73
  5. Step 5: Solve for x
    x = 57,024,296.73/10,604.75
  6. Step 6: Final answer
    x = 5,377.24

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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.