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Finding the Fourth Proportional to 11,607, 17,410.74 and 3,399

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Solution

The fourth proportional to 11,607, 17,410.74 and 3,399 is: 5,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,607 : 17,410.74 = 3,399 : x
  2. Step 2: Convert to fraction form
    11,607/17,410.74 = 3,399/x
  3. Step 3: Cross multiply
    11,607x = 17,410.74 × 3,399
  4. Step 4: Simplify right side
    11,607x = 59,179,105.26
  5. Step 5: Solve for x
    x = 59,179,105.26/11,607
  6. Step 6: Final answer
    x = 5,098.57

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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.