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Finding the Fourth Proportional to 11,369, 17,053.50 and 3,577.82

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Solution

The fourth proportional to 11,369, 17,053.50 and 3,577.82 is: 5,366.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369 : 17,053.50 = 3,577.82 : x
  2. Step 2: Convert to fraction form
    11,369/17,053.50 = 3,577.82/x
  3. Step 3: Cross multiply
    11,369x = 17,053.50 × 3,577.82
  4. Step 4: Simplify right side
    11,369x = 61,014,353.37
  5. Step 5: Solve for x
    x = 61,014,353.37/11,369
  6. Step 6: Final answer
    x = 5,366.73

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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.