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Finding the Fourth Proportional to 11,906.34, 16,430.58 and 6,601.04

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Solution

The fourth proportional to 11,906.34, 16,430.58 and 6,601.04 is: 9,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.34 : 16,430.58 = 6,601.04 : x
  2. Step 2: Convert to fraction form
    11,906.34/16,430.58 = 6,601.04/x
  3. Step 3: Cross multiply
    11,906.34x = 16,430.58 × 6,601.04
  4. Step 4: Simplify right side
    11,906.34x = 108,458,915.80
  5. Step 5: Solve for x
    x = 108,458,915.80/11,906.34
  6. Step 6: Final answer
    x = 9,109.34

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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.