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Finding the Fourth Proportional to 11,828.69, 16,323.83 and 7,644.23

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Solution

The fourth proportional to 11,828.69, 16,323.83 and 7,644.23 is: 10,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.69 : 16,323.83 = 7,644.23 : x
  2. Step 2: Convert to fraction form
    11,828.69/16,323.83 = 7,644.23/x
  3. Step 3: Cross multiply
    11,828.69x = 16,323.83 × 7,644.23
  4. Step 4: Simplify right side
    11,828.69x = 124,783,111.00
  5. Step 5: Solve for x
    x = 124,783,111.00/11,828.69
  6. Step 6: Final answer
    x = 10,549.19

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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.