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Finding the Fourth Proportional to 8,195.80, 12,293.70 and 4,684.45

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Solution

The fourth proportional to 8,195.80, 12,293.70 and 4,684.45 is: 7,026.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.80 : 12,293.70 = 4,684.45 : x
  2. Step 2: Convert to fraction form
    8,195.80/12,293.70 = 4,684.45/x
  3. Step 3: Cross multiply
    8,195.80x = 12,293.70 × 4,684.45
  4. Step 4: Simplify right side
    8,195.80x = 57,589,222.97
  5. Step 5: Solve for x
    x = 57,589,222.97/8,195.80
  6. Step 6: Final answer
    x = 7,026.68

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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.