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Finding the Fourth Proportional to 11,557, 17,338.38 and 3,349

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Solution

The fourth proportional to 11,557, 17,338.38 and 3,349 is: 5,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557 : 17,338.38 = 3,349 : x
  2. Step 2: Convert to fraction form
    11,557/17,338.38 = 3,349/x
  3. Step 3: Cross multiply
    11,557x = 17,338.38 × 3,349
  4. Step 4: Simplify right side
    11,557x = 58,066,234.62
  5. Step 5: Solve for x
    x = 58,066,234.62/11,557
  6. Step 6: Final answer
    x = 5,024.33

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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.