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Finding the Fourth Proportional to 8,271.36, 12,405.83 and 4,109.99

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Solution

The fourth proportional to 8,271.36, 12,405.83 and 4,109.99 is: 6,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.36 : 12,405.83 = 4,109.99 : x
  2. Step 2: Convert to fraction form
    8,271.36/12,405.83 = 4,109.99/x
  3. Step 3: Cross multiply
    8,271.36x = 12,405.83 × 4,109.99
  4. Step 4: Simplify right side
    8,271.36x = 50,987,754.66
  5. Step 5: Solve for x
    x = 50,987,754.66/8,271.36
  6. Step 6: Final answer
    x = 6,164.37

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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.