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Finding the Fourth Proportional to 8,112.01, 12,169.22 and 2,564.10

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Solution

The fourth proportional to 8,112.01, 12,169.22 and 2,564.10 is: 3,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.01 : 12,169.22 = 2,564.10 : x
  2. Step 2: Convert to fraction form
    8,112.01/12,169.22 = 2,564.10/x
  3. Step 3: Cross multiply
    8,112.01x = 12,169.22 × 2,564.10
  4. Step 4: Simplify right side
    8,112.01x = 31,203,038.55
  5. Step 5: Solve for x
    x = 31,203,038.55/8,112.01
  6. Step 6: Final answer
    x = 3,846.52

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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.