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Finding the Fourth Proportional to 8,163.83, 11,265.71 and 4,626.96

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Solution

The fourth proportional to 8,163.83, 11,265.71 and 4,626.96 is: 6,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.83 : 11,265.71 = 4,626.96 : x
  2. Step 2: Convert to fraction form
    8,163.83/11,265.71 = 4,626.96/x
  3. Step 3: Cross multiply
    8,163.83x = 11,265.71 × 4,626.96
  4. Step 4: Simplify right side
    8,163.83x = 52,125,966.41
  5. Step 5: Solve for x
    x = 52,125,966.41/8,163.83
  6. Step 6: Final answer
    x = 6,384.99

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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.