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Finding the Fourth Proportional to 8,197.80, 12,296.70 and 4,686.45

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Solution

The fourth proportional to 8,197.80, 12,296.70 and 4,686.45 is: 7,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.80 : 12,296.70 = 4,686.45 : x
  2. Step 2: Convert to fraction form
    8,197.80/12,296.70 = 4,686.45/x
  3. Step 3: Cross multiply
    8,197.80x = 12,296.70 × 4,686.45
  4. Step 4: Simplify right side
    8,197.80x = 57,627,869.72
  5. Step 5: Solve for x
    x = 57,627,869.72/8,197.80
  6. Step 6: Final answer
    x = 7,029.68

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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.