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Finding the Fourth Proportional to 11,937.69, 16,456.91 and 8,389.89

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Solution

The fourth proportional to 11,937.69, 16,456.91 and 8,389.89 is: 11,566.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.69 : 16,456.91 = 8,389.89 : x
  2. Step 2: Convert to fraction form
    11,937.69/16,456.91 = 8,389.89/x
  3. Step 3: Cross multiply
    11,937.69x = 16,456.91 × 8,389.89
  4. Step 4: Simplify right side
    11,937.69x = 138,071,622.69
  5. Step 5: Solve for x
    x = 138,071,622.69/11,937.69
  6. Step 6: Final answer
    x = 11,566.03

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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.