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Finding the Fourth Proportional to 11,804.77, 16,288.71 and 6,768.03

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Solution

The fourth proportional to 11,804.77, 16,288.71 and 6,768.03 is: 9,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.77 : 16,288.71 = 6,768.03 : x
  2. Step 2: Convert to fraction form
    11,804.77/16,288.71 = 6,768.03/x
  3. Step 3: Cross multiply
    11,804.77x = 16,288.71 × 6,768.03
  4. Step 4: Simplify right side
    11,804.77x = 110,242,477.94
  5. Step 5: Solve for x
    x = 110,242,477.94/11,804.77
  6. Step 6: Final answer
    x = 9,338.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.