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Finding the Fourth Proportional to 11,553.87, 17,333.43 and 3,656.88

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Solution

The fourth proportional to 11,553.87, 17,333.43 and 3,656.88 is: 5,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.87 : 17,333.43 = 3,656.88 : x
  2. Step 2: Convert to fraction form
    11,553.87/17,333.43 = 3,656.88/x
  3. Step 3: Cross multiply
    11,553.87x = 17,333.43 × 3,656.88
  4. Step 4: Simplify right side
    11,553.87x = 63,386,273.50
  5. Step 5: Solve for x
    x = 63,386,273.50/11,553.87
  6. Step 6: Final answer
    x = 5,486.15

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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.