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Finding the Fourth Proportional to 11,635.38, 16,058.25 and 6,919.56

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Solution

The fourth proportional to 11,635.38, 16,058.25 and 6,919.56 is: 9,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.38 : 16,058.25 = 6,919.56 : x
  2. Step 2: Convert to fraction form
    11,635.38/16,058.25 = 6,919.56/x
  3. Step 3: Cross multiply
    11,635.38x = 16,058.25 × 6,919.56
  4. Step 4: Simplify right side
    11,635.38x = 111,116,024.37
  5. Step 5: Solve for x
    x = 111,116,024.37/11,635.38
  6. Step 6: Final answer
    x = 9,549.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.