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Finding the Fourth Proportional to 7,175.46, 10,765.95 and 2,796.02

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Solution

The fourth proportional to 7,175.46, 10,765.95 and 2,796.02 is: 4,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.46 : 10,765.95 = 2,796.02 : x
  2. Step 2: Convert to fraction form
    7,175.46/10,765.95 = 2,796.02/x
  3. Step 3: Cross multiply
    7,175.46x = 10,765.95 × 2,796.02
  4. Step 4: Simplify right side
    7,175.46x = 30,101,811.52
  5. Step 5: Solve for x
    x = 30,101,811.52/7,175.46
  6. Step 6: Final answer
    x = 4,195.11

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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.