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Finding the Fourth Proportional to 8,197.10, 11,311.73 and 4,661.45

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Solution

The fourth proportional to 8,197.10, 11,311.73 and 4,661.45 is: 6,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.10 : 11,311.73 = 4,661.45 : x
  2. Step 2: Convert to fraction form
    8,197.10/11,311.73 = 4,661.45/x
  3. Step 3: Cross multiply
    8,197.10x = 11,311.73 × 4,661.45
  4. Step 4: Simplify right side
    8,197.10x = 52,729,007.25
  5. Step 5: Solve for x
    x = 52,729,007.25/8,197.10
  6. Step 6: Final answer
    x = 6,432.65

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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.