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Finding the Fourth Proportional to 8,197.72, 11,312.83 and 4,660.94

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Solution

The fourth proportional to 8,197.72, 11,312.83 and 4,660.94 is: 6,432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.72 : 11,312.83 = 4,660.94 : x
  2. Step 2: Convert to fraction form
    8,197.72/11,312.83 = 4,660.94/x
  3. Step 3: Cross multiply
    8,197.72x = 11,312.83 × 4,660.94
  4. Step 4: Simplify right side
    8,197.72x = 52,728,455.97
  5. Step 5: Solve for x
    x = 52,728,455.97/8,197.72
  6. Step 6: Final answer
    x = 6,432.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.