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Finding the Fourth Proportional to 7,082.58, 10,625.12 and 2,338.98

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Solution

The fourth proportional to 7,082.58, 10,625.12 and 2,338.98 is: 3,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.58 : 10,625.12 = 2,338.98 : x
  2. Step 2: Convert to fraction form
    7,082.58/10,625.12 = 2,338.98/x
  3. Step 3: Cross multiply
    7,082.58x = 10,625.12 × 2,338.98
  4. Step 4: Simplify right side
    7,082.58x = 24,851,943.18
  5. Step 5: Solve for x
    x = 24,851,943.18/7,082.58
  6. Step 6: Final answer
    x = 3,508.88

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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.