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Finding the Fourth Proportional to 10,546.66, 15,832.21 and 6,167.26

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Solution

The fourth proportional to 10,546.66, 15,832.21 and 6,167.26 is: 9,258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.66 : 15,832.21 = 6,167.26 : x
  2. Step 2: Convert to fraction form
    10,546.66/15,832.21 = 6,167.26/x
  3. Step 3: Cross multiply
    10,546.66x = 15,832.21 × 6,167.26
  4. Step 4: Simplify right side
    10,546.66x = 97,641,355.44
  5. Step 5: Solve for x
    x = 97,641,355.44/10,546.66
  6. Step 6: Final answer
    x = 9,258.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.