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Finding the Fourth Proportional to 8,112.68, 12,168.94 and 2,566.03

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Solution

The fourth proportional to 8,112.68, 12,168.94 and 2,566.03 is: 3,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.68 : 12,168.94 = 2,566.03 : x
  2. Step 2: Convert to fraction form
    8,112.68/12,168.94 = 2,566.03/x
  3. Step 3: Cross multiply
    8,112.68x = 12,168.94 × 2,566.03
  4. Step 4: Simplify right side
    8,112.68x = 31,225,828.27
  5. Step 5: Solve for x
    x = 31,225,828.27/8,112.68
  6. Step 6: Final answer
    x = 3,849.01

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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.