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Finding the Fourth Proportional to 11,543, 17,317.38 and 3,335

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Solution

The fourth proportional to 11,543, 17,317.38 and 3,335 is: 5,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543 : 17,317.38 = 3,335 : x
  2. Step 2: Convert to fraction form
    11,543/17,317.38 = 3,335/x
  3. Step 3: Cross multiply
    11,543x = 17,317.38 × 3,335
  4. Step 4: Simplify right side
    11,543x = 57,753,462.30
  5. Step 5: Solve for x
    x = 57,753,462.30/11,543
  6. Step 6: Final answer
    x = 5,003.33

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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.