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Finding the Fourth Proportional to 8,072.10, 11,138.94 and 5,419.08

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Solution

The fourth proportional to 8,072.10, 11,138.94 and 5,419.08 is: 7,477.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,072.10 : 11,138.94 = 5,419.08 : x
  2. Step 2: Convert to fraction form
    8,072.10/11,138.94 = 5,419.08/x
  3. Step 3: Cross multiply
    8,072.10x = 11,138.94 × 5,419.08
  4. Step 4: Simplify right side
    8,072.10x = 60,362,806.98
  5. Step 5: Solve for x
    x = 60,362,806.98/8,072.10
  6. Step 6: Final answer
    x = 7,477.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.