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Finding the Fourth Proportional to 11,638.50, 16,058.33 and 6,858.64

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Solution

The fourth proportional to 11,638.50, 16,058.33 and 6,858.64 is: 9,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.50 : 16,058.33 = 6,858.64 : x
  2. Step 2: Convert to fraction form
    11,638.50/16,058.33 = 6,858.64/x
  3. Step 3: Cross multiply
    11,638.50x = 16,058.33 × 6,858.64
  4. Step 4: Simplify right side
    11,638.50x = 110,138,255.75
  5. Step 5: Solve for x
    x = 110,138,255.75/11,638.50
  6. Step 6: Final answer
    x = 9,463.27

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