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Finding the Fourth Proportional to 11,628.09, 17,477.38 and 7,692.77

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Solution

The fourth proportional to 11,628.09, 17,477.38 and 7,692.77 is: 11,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.09 : 17,477.38 = 7,692.77 : x
  2. Step 2: Convert to fraction form
    11,628.09/17,477.38 = 7,692.77/x
  3. Step 3: Cross multiply
    11,628.09x = 17,477.38 × 7,692.77
  4. Step 4: Simplify right side
    11,628.09x = 134,449,479.99
  5. Step 5: Solve for x
    x = 134,449,479.99/11,628.09
  6. Step 6: Final answer
    x = 11,562.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.