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Finding the Fourth Proportional to 7,699.12, 11,553 and 3,082.48

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Solution

The fourth proportional to 7,699.12, 11,553 and 3,082.48 is: 4,625.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.12 : 11,553 = 3,082.48 : x
  2. Step 2: Convert to fraction form
    7,699.12/11,553 = 3,082.48/x
  3. Step 3: Cross multiply
    7,699.12x = 11,553 × 3,082.48
  4. Step 4: Simplify right side
    7,699.12x = 35,611,891.44
  5. Step 5: Solve for x
    x = 35,611,891.44/7,699.12
  6. Step 6: Final answer
    x = 4,625.45

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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.