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Finding the Fourth Proportional to 8,322.09, 12,485.30 and 4,161.93

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Solution

The fourth proportional to 8,322.09, 12,485.30 and 4,161.93 is: 6,243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.09 : 12,485.30 = 4,161.93 : x
  2. Step 2: Convert to fraction form
    8,322.09/12,485.30 = 4,161.93/x
  3. Step 3: Cross multiply
    8,322.09x = 12,485.30 × 4,161.93
  4. Step 4: Simplify right side
    8,322.09x = 51,962,923.82
  5. Step 5: Solve for x
    x = 51,962,923.82/8,322.09
  6. Step 6: Final answer
    x = 6,243.98

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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.