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Finding the Fourth Proportional to 8,205.27, 12,300.62 and 3,009.93

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Solution

The fourth proportional to 8,205.27, 12,300.62 and 3,009.93 is: 4,512.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.27 : 12,300.62 = 3,009.93 : x
  2. Step 2: Convert to fraction form
    8,205.27/12,300.62 = 3,009.93/x
  3. Step 3: Cross multiply
    8,205.27x = 12,300.62 × 3,009.93
  4. Step 4: Simplify right side
    8,205.27x = 37,023,990.11
  5. Step 5: Solve for x
    x = 37,023,990.11/8,205.27
  6. Step 6: Final answer
    x = 4,512.22

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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.