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Finding the Fourth Proportional to 8,271.49, 11,410.37 and 5,122.21

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Solution

The fourth proportional to 8,271.49, 11,410.37 and 5,122.21 is: 7,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.49 : 11,410.37 = 5,122.21 : x
  2. Step 2: Convert to fraction form
    8,271.49/11,410.37 = 5,122.21/x
  3. Step 3: Cross multiply
    8,271.49x = 11,410.37 × 5,122.21
  4. Step 4: Simplify right side
    8,271.49x = 58,446,254.27
  5. Step 5: Solve for x
    x = 58,446,254.27/8,271.49
  6. Step 6: Final answer
    x = 7,065.99

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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.