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Finding the Fourth Proportional to 11,804.31, 16,292.72 and 6,768.44

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Solution

The fourth proportional to 11,804.31, 16,292.72 and 6,768.44 is: 9,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.31 : 16,292.72 = 6,768.44 : x
  2. Step 2: Convert to fraction form
    11,804.31/16,292.72 = 6,768.44/x
  3. Step 3: Cross multiply
    11,804.31x = 16,292.72 × 6,768.44
  4. Step 4: Simplify right side
    11,804.31x = 110,276,263.91
  5. Step 5: Solve for x
    x = 110,276,263.91/11,804.31
  6. Step 6: Final answer
    x = 9,342.03

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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.