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Finding the Fourth Proportional to 8,266.13, 12,399.26 and 3,072

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Solution

The fourth proportional to 8,266.13, 12,399.26 and 3,072 is: 4,608.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.13 : 12,399.26 = 3,072 : x
  2. Step 2: Convert to fraction form
    8,266.13/12,399.26 = 3,072/x
  3. Step 3: Cross multiply
    8,266.13x = 12,399.26 × 3,072
  4. Step 4: Simplify right side
    8,266.13x = 38,090,511.36
  5. Step 5: Solve for x
    x = 38,090,511.36/8,266.13
  6. Step 6: Final answer
    x = 4,608.03

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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.