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Finding the Fourth Proportional to 11,842.89, 16,344.57 and 6,807.30

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Solution

The fourth proportional to 11,842.89, 16,344.57 and 6,807.30 is: 9,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.89 : 16,344.57 = 6,807.30 : x
  2. Step 2: Convert to fraction form
    11,842.89/16,344.57 = 6,807.30/x
  3. Step 3: Cross multiply
    11,842.89x = 16,344.57 × 6,807.30
  4. Step 4: Simplify right side
    11,842.89x = 111,262,391.36
  5. Step 5: Solve for x
    x = 111,262,391.36/11,842.89
  6. Step 6: Final answer
    x = 9,394.87

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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.