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Finding the Fourth Proportional to 12,095.93, 16,692.38 and 6,790.76

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Solution

The fourth proportional to 12,095.93, 16,692.38 and 6,790.76 is: 9,371.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.93 : 16,692.38 = 6,790.76 : x
  2. Step 2: Convert to fraction form
    12,095.93/16,692.38 = 6,790.76/x
  3. Step 3: Cross multiply
    12,095.93x = 16,692.38 × 6,790.76
  4. Step 4: Simplify right side
    12,095.93x = 113,353,912.46
  5. Step 5: Solve for x
    x = 113,353,912.46/12,095.93
  6. Step 6: Final answer
    x = 9,371.24

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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.