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Finding the Fourth Proportional to 11,266, 16,899.32 and 3,058

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Solution

The fourth proportional to 11,266, 16,899.32 and 3,058 is: 4,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,266 : 16,899.32 = 3,058 : x
  2. Step 2: Convert to fraction form
    11,266/16,899.32 = 3,058/x
  3. Step 3: Cross multiply
    11,266x = 16,899.32 × 3,058
  4. Step 4: Simplify right side
    11,266x = 51,678,120.56
  5. Step 5: Solve for x
    x = 51,678,120.56/11,266
  6. Step 6: Final answer
    x = 4,587.09

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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.