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Finding the Fourth Proportional to 11,090.98, 16,638.95 and 4,165.54

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Solution

The fourth proportional to 11,090.98, 16,638.95 and 4,165.54 is: 6,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,090.98 : 16,638.95 = 4,165.54 : x
  2. Step 2: Convert to fraction form
    11,090.98/16,638.95 = 4,165.54/x
  3. Step 3: Cross multiply
    11,090.98x = 16,638.95 × 4,165.54
  4. Step 4: Simplify right side
    11,090.98x = 69,310,211.78
  5. Step 5: Solve for x
    x = 69,310,211.78/11,090.98
  6. Step 6: Final answer
    x = 6,249.24

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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.