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Finding the Fourth Proportional to 11,804.53, 16,289.07 and 6,767.60

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Solution

The fourth proportional to 11,804.53, 16,289.07 and 6,767.60 is: 9,338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.53 : 16,289.07 = 6,767.60 : x
  2. Step 2: Convert to fraction form
    11,804.53/16,289.07 = 6,767.60/x
  3. Step 3: Cross multiply
    11,804.53x = 16,289.07 × 6,767.60
  4. Step 4: Simplify right side
    11,804.53x = 110,237,828.69
  5. Step 5: Solve for x
    x = 110,237,828.69/11,804.53
  6. Step 6: Final answer
    x = 9,338.61

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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.