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Finding the Fourth Proportional to 11,699.57, 17,553.11 and 4,198.07

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Solution

The fourth proportional to 11,699.57, 17,553.11 and 4,198.07 is: 6,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.57 : 17,553.11 = 4,198.07 : x
  2. Step 2: Convert to fraction form
    11,699.57/17,553.11 = 4,198.07/x
  3. Step 3: Cross multiply
    11,699.57x = 17,553.11 × 4,198.07
  4. Step 4: Simplify right side
    11,699.57x = 73,689,184.50
  5. Step 5: Solve for x
    x = 73,689,184.50/11,699.57
  6. Step 6: Final answer
    x = 6,298.45

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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.