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Finding the Fourth Proportional to 11,136, 16,692.42 and 6,966.44

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Solution

The fourth proportional to 11,136, 16,692.42 and 6,966.44 is: 10,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,136 : 16,692.42 = 6,966.44 : x
  2. Step 2: Convert to fraction form
    11,136/16,692.42 = 6,966.44/x
  3. Step 3: Cross multiply
    11,136x = 16,692.42 × 6,966.44
  4. Step 4: Simplify right side
    11,136x = 116,286,742.38
  5. Step 5: Solve for x
    x = 116,286,742.38/11,136
  6. Step 6: Final answer
    x = 10,442.42

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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.