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Finding the Fourth Proportional to 7,128.06, 10,692.18 and 3,429.60

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Solution

The fourth proportional to 7,128.06, 10,692.18 and 3,429.60 is: 5,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.06 : 10,692.18 = 3,429.60 : x
  2. Step 2: Convert to fraction form
    7,128.06/10,692.18 = 3,429.60/x
  3. Step 3: Cross multiply
    7,128.06x = 10,692.18 × 3,429.60
  4. Step 4: Simplify right side
    7,128.06x = 36,669,900.53
  5. Step 5: Solve for x
    x = 36,669,900.53/7,128.06
  6. Step 6: Final answer
    x = 5,144.44

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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.