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Finding the Fourth Proportional to 10,692.89, 16,035.24 and 3,671.60

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Solution

The fourth proportional to 10,692.89, 16,035.24 and 3,671.60 is: 5,505.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.89 : 16,035.24 = 3,671.60 : x
  2. Step 2: Convert to fraction form
    10,692.89/16,035.24 = 3,671.60/x
  3. Step 3: Cross multiply
    10,692.89x = 16,035.24 × 3,671.60
  4. Step 4: Simplify right side
    10,692.89x = 58,874,987.18
  5. Step 5: Solve for x
    x = 58,874,987.18/10,692.89
  6. Step 6: Final answer
    x = 5,505.99

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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.