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Finding the Fourth Proportional to 11,623.88, 16,040.91 and 6,589.07

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Solution

The fourth proportional to 11,623.88, 16,040.91 and 6,589.07 is: 9,092.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.88 : 16,040.91 = 6,589.07 : x
  2. Step 2: Convert to fraction form
    11,623.88/16,040.91 = 6,589.07/x
  3. Step 3: Cross multiply
    11,623.88x = 16,040.91 × 6,589.07
  4. Step 4: Simplify right side
    11,623.88x = 105,694,678.85
  5. Step 5: Solve for x
    x = 105,694,678.85/11,623.88
  6. Step 6: Final answer
    x = 9,092.89

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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.