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Finding the Fourth Proportional to 7,122.76, 10,687.97 and 2,965.64

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Solution

The fourth proportional to 7,122.76, 10,687.97 and 2,965.64 is: 4,450.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.76 : 10,687.97 = 2,965.64 : x
  2. Step 2: Convert to fraction form
    7,122.76/10,687.97 = 2,965.64/x
  3. Step 3: Cross multiply
    7,122.76x = 10,687.97 × 2,965.64
  4. Step 4: Simplify right side
    7,122.76x = 31,696,671.35
  5. Step 5: Solve for x
    x = 31,696,671.35/7,122.76
  6. Step 6: Final answer
    x = 4,450.05

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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.