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Finding the Fourth Proportional to 11,804.97, 16,288.79 and 7,089.36

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Solution

The fourth proportional to 11,804.97, 16,288.79 and 7,089.36 is: 9,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.97 : 16,288.79 = 7,089.36 : x
  2. Step 2: Convert to fraction form
    11,804.97/16,288.79 = 7,089.36/x
  3. Step 3: Cross multiply
    11,804.97x = 16,288.79 × 7,089.36
  4. Step 4: Simplify right side
    11,804.97x = 115,477,096.27
  5. Step 5: Solve for x
    x = 115,477,096.27/11,804.97
  6. Step 6: Final answer
    x = 9,782.07

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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.