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Finding the Fourth Proportional to 11,058, 16,589.73 and 3,663.21

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Solution

The fourth proportional to 11,058, 16,589.73 and 3,663.21 is: 5,495.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,058 : 16,589.73 = 3,663.21 : x
  2. Step 2: Convert to fraction form
    11,058/16,589.73 = 3,663.21/x
  3. Step 3: Cross multiply
    11,058x = 16,589.73 × 3,663.21
  4. Step 4: Simplify right side
    11,058x = 60,771,664.83
  5. Step 5: Solve for x
    x = 60,771,664.83/11,058
  6. Step 6: Final answer
    x = 5,495.72

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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.