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Finding the Fourth Proportional to 11,267.86, 16,900.16 and 4,692.82

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Solution

The fourth proportional to 11,267.86, 16,900.16 and 4,692.82 is: 7,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267.86 : 16,900.16 = 4,692.82 : x
  2. Step 2: Convert to fraction form
    11,267.86/16,900.16 = 4,692.82/x
  3. Step 3: Cross multiply
    11,267.86x = 16,900.16 × 4,692.82
  4. Step 4: Simplify right side
    11,267.86x = 79,309,408.85
  5. Step 5: Solve for x
    x = 79,309,408.85/11,267.86
  6. Step 6: Final answer
    x = 7,038.55

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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.