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Finding the Fourth Proportional to 8,749.49, 12,072.44 and 5,213.84

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Solution

The fourth proportional to 8,749.49, 12,072.44 and 5,213.84 is: 7,193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.49 : 12,072.44 = 5,213.84 : x
  2. Step 2: Convert to fraction form
    8,749.49/12,072.44 = 5,213.84/x
  3. Step 3: Cross multiply
    8,749.49x = 12,072.44 × 5,213.84
  4. Step 4: Simplify right side
    8,749.49x = 62,943,723.24
  5. Step 5: Solve for x
    x = 62,943,723.24/8,749.49
  6. Step 6: Final answer
    x = 7,193.99

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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.