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Finding the Fourth Proportional to 8,272.22, 12,407.02 and 2,427.46

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Solution

The fourth proportional to 8,272.22, 12,407.02 and 2,427.46 is: 3,640.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.22 : 12,407.02 = 2,427.46 : x
  2. Step 2: Convert to fraction form
    8,272.22/12,407.02 = 2,427.46/x
  3. Step 3: Cross multiply
    8,272.22x = 12,407.02 × 2,427.46
  4. Step 4: Simplify right side
    8,272.22x = 30,117,544.77
  5. Step 5: Solve for x
    x = 30,117,544.77/8,272.22
  6. Step 6: Final answer
    x = 3,640.81

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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.