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Finding the Fourth Proportional to 11,692.50, 16,135.64 and 6,914.18

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Solution

The fourth proportional to 11,692.50, 16,135.64 and 6,914.18 is: 9,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.50 : 16,135.64 = 6,914.18 : x
  2. Step 2: Convert to fraction form
    11,692.50/16,135.64 = 6,914.18/x
  3. Step 3: Cross multiply
    11,692.50x = 16,135.64 × 6,914.18
  4. Step 4: Simplify right side
    11,692.50x = 111,564,719.38
  5. Step 5: Solve for x
    x = 111,564,719.38/11,692.50
  6. Step 6: Final answer
    x = 9,541.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.