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Finding the Fourth Proportional to 8,660.64, 12,982.61 and 3,983.86

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Solution

The fourth proportional to 8,660.64, 12,982.61 and 3,983.86 is: 5,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,660.64 : 12,982.61 = 3,983.86 : x
  2. Step 2: Convert to fraction form
    8,660.64/12,982.61 = 3,983.86/x
  3. Step 3: Cross multiply
    8,660.64x = 12,982.61 × 3,983.86
  4. Step 4: Simplify right side
    8,660.64x = 51,720,835.76
  5. Step 5: Solve for x
    x = 51,720,835.76/8,660.64
  6. Step 6: Final answer
    x = 5,971.94

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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.