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Finding the Fourth Proportional to 10,692.69, 16,037.14 and 2,902.11

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Solution

The fourth proportional to 10,692.69, 16,037.14 and 2,902.11 is: 4,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.69 : 16,037.14 = 2,902.11 : x
  2. Step 2: Convert to fraction form
    10,692.69/16,037.14 = 2,902.11/x
  3. Step 3: Cross multiply
    10,692.69x = 16,037.14 × 2,902.11
  4. Step 4: Simplify right side
    10,692.69x = 46,541,544.37
  5. Step 5: Solve for x
    x = 46,541,544.37/10,692.69
  6. Step 6: Final answer
    x = 4,352.65

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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.