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Finding the Fourth Proportional to 11,213.52, 16,805.16 and 4,284.24

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Solution

The fourth proportional to 11,213.52, 16,805.16 and 4,284.24 is: 6,420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.52 : 16,805.16 = 4,284.24 : x
  2. Step 2: Convert to fraction form
    11,213.52/16,805.16 = 4,284.24/x
  3. Step 3: Cross multiply
    11,213.52x = 16,805.16 × 4,284.24
  4. Step 4: Simplify right side
    11,213.52x = 71,997,338.68
  5. Step 5: Solve for x
    x = 71,997,338.68/11,213.52
  6. Step 6: Final answer
    x = 6,420.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.