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Finding the Fourth Proportional to 8,111.45, 12,167.09 and 2,564.79

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Solution

The fourth proportional to 8,111.45, 12,167.09 and 2,564.79 is: 3,847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.45 : 12,167.09 = 2,564.79 : x
  2. Step 2: Convert to fraction form
    8,111.45/12,167.09 = 2,564.79/x
  3. Step 3: Cross multiply
    8,111.45x = 12,167.09 × 2,564.79
  4. Step 4: Simplify right side
    8,111.45x = 31,206,000.34
  5. Step 5: Solve for x
    x = 31,206,000.34/8,111.45
  6. Step 6: Final answer
    x = 3,847.16

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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.