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Finding the Fourth Proportional to 11,563, 17,347.38 and 3,355

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Solution

The fourth proportional to 11,563, 17,347.38 and 3,355 is: 5,033.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563 : 17,347.38 = 3,355 : x
  2. Step 2: Convert to fraction form
    11,563/17,347.38 = 3,355/x
  3. Step 3: Cross multiply
    11,563x = 17,347.38 × 3,355
  4. Step 4: Simplify right side
    11,563x = 58,200,459.90
  5. Step 5: Solve for x
    x = 58,200,459.90/11,563
  6. Step 6: Final answer
    x = 5,033.34

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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.