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Finding the Fourth Proportional to 8,114.89, 12,162.85 and 7,192.25

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Solution

The fourth proportional to 8,114.89, 12,162.85 and 7,192.25 is: 10,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.89 : 12,162.85 = 7,192.25 : x
  2. Step 2: Convert to fraction form
    8,114.89/12,162.85 = 7,192.25/x
  3. Step 3: Cross multiply
    8,114.89x = 12,162.85 × 7,192.25
  4. Step 4: Simplify right side
    8,114.89x = 87,478,257.91
  5. Step 5: Solve for x
    x = 87,478,257.91/8,114.89
  6. Step 6: Final answer
    x = 10,779.97

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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.