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Finding the Fourth Proportional to 11,623.44, 16,040.51 and 6,318.26

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Solution

The fourth proportional to 11,623.44, 16,040.51 and 6,318.26 is: 8,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.44 : 16,040.51 = 6,318.26 : x
  2. Step 2: Convert to fraction form
    11,623.44/16,040.51 = 6,318.26/x
  3. Step 3: Cross multiply
    11,623.44x = 16,040.51 × 6,318.26
  4. Step 4: Simplify right side
    11,623.44x = 101,348,048.31
  5. Step 5: Solve for x
    x = 101,348,048.31/11,623.44
  6. Step 6: Final answer
    x = 8,719.28

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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.