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Finding the Fourth Proportional to 11,804.42, 16,288.74 and 6,767.25

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Solution

The fourth proportional to 11,804.42, 16,288.74 and 6,767.25 is: 9,338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.42 : 16,288.74 = 6,767.25 : x
  2. Step 2: Convert to fraction form
    11,804.42/16,288.74 = 6,767.25/x
  3. Step 3: Cross multiply
    11,804.42x = 16,288.74 × 6,767.25
  4. Step 4: Simplify right side
    11,804.42x = 110,229,975.77
  5. Step 5: Solve for x
    x = 110,229,975.77/11,804.42
  6. Step 6: Final answer
    x = 9,338.03

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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.