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Finding the Fourth Proportional to 27,692.50, 41,538.57 and 6,916

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Solution

The fourth proportional to 27,692.50, 41,538.57 and 6,916 is: 10,373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.50 : 41,538.57 = 6,916 : x
  2. Step 2: Convert to fraction form
    27,692.50/41,538.57 = 6,916/x
  3. Step 3: Cross multiply
    27,692.50x = 41,538.57 × 6,916
  4. Step 4: Simplify right side
    27,692.50x = 287,280,750.12
  5. Step 5: Solve for x
    x = 287,280,750.12/27,692.50
  6. Step 6: Final answer
    x = 10,373.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.