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Finding the Fourth Proportional to 10,692.14, 16,040.64 and 4,850.42

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Solution

The fourth proportional to 10,692.14, 16,040.64 and 4,850.42 is: 7,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.14 : 16,040.64 = 4,850.42 : x
  2. Step 2: Convert to fraction form
    10,692.14/16,040.64 = 4,850.42/x
  3. Step 3: Cross multiply
    10,692.14x = 16,040.64 × 4,850.42
  4. Step 4: Simplify right side
    10,692.14x = 77,803,841.07
  5. Step 5: Solve for x
    x = 77,803,841.07/10,692.14
  6. Step 6: Final answer
    x = 7,276.73

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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.