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Finding the Fourth Proportional to 10,692.96, 16,017.60 and 6,297.12

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Solution

The fourth proportional to 10,692.96, 16,017.60 and 6,297.12 is: 9,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.96 : 16,017.60 = 6,297.12 : x
  2. Step 2: Convert to fraction form
    10,692.96/16,017.60 = 6,297.12/x
  3. Step 3: Cross multiply
    10,692.96x = 16,017.60 × 6,297.12
  4. Step 4: Simplify right side
    10,692.96x = 100,864,749.31
  5. Step 5: Solve for x
    x = 100,864,749.31/10,692.96
  6. Step 6: Final answer
    x = 9,432.82

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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.