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Finding the Fourth Proportional to 8,197.35, 12,218.21 and 7,927.35

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Solution

The fourth proportional to 8,197.35, 12,218.21 and 7,927.35 is: 11,815.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.35 : 12,218.21 = 7,927.35 : x
  2. Step 2: Convert to fraction form
    8,197.35/12,218.21 = 7,927.35/x
  3. Step 3: Cross multiply
    8,197.35x = 12,218.21 × 7,927.35
  4. Step 4: Simplify right side
    8,197.35x = 96,857,987.41
  5. Step 5: Solve for x
    x = 96,857,987.41/8,197.35
  6. Step 6: Final answer
    x = 11,815.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.