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Finding the Fourth Proportional to 8,266.08, 12,400.49 and 4,106.22

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Solution

The fourth proportional to 8,266.08, 12,400.49 and 4,106.22 is: 6,160.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.08 : 12,400.49 = 4,106.22 : x
  2. Step 2: Convert to fraction form
    8,266.08/12,400.49 = 4,106.22/x
  3. Step 3: Cross multiply
    8,266.08x = 12,400.49 × 4,106.22
  4. Step 4: Simplify right side
    8,266.08x = 50,919,119.52
  5. Step 5: Solve for x
    x = 50,919,119.52/8,266.08
  6. Step 6: Final answer
    x = 6,160.01

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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.