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Finding the Fourth Proportional to 7,106.27, 10,659.41 and 2,175.89

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Solution

The fourth proportional to 7,106.27, 10,659.41 and 2,175.89 is: 3,263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.27 : 10,659.41 = 2,175.89 : x
  2. Step 2: Convert to fraction form
    7,106.27/10,659.41 = 2,175.89/x
  3. Step 3: Cross multiply
    7,106.27x = 10,659.41 × 2,175.89
  4. Step 4: Simplify right side
    7,106.27x = 23,193,692.75
  5. Step 5: Solve for x
    x = 23,193,692.75/7,106.27
  6. Step 6: Final answer
    x = 3,263.84

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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.