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Finding the Fourth Proportional to 10,817.55, 16,205.67 and 6,421.68

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Solution

The fourth proportional to 10,817.55, 16,205.67 and 6,421.68 is: 9,620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.55 : 16,205.67 = 6,421.68 : x
  2. Step 2: Convert to fraction form
    10,817.55/16,205.67 = 6,421.68/x
  3. Step 3: Cross multiply
    10,817.55x = 16,205.67 × 6,421.68
  4. Step 4: Simplify right side
    10,817.55x = 104,067,626.93
  5. Step 5: Solve for x
    x = 104,067,626.93/10,817.55
  6. Step 6: Final answer
    x = 9,620.26

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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.