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Finding the Fourth Proportional to 11,842.56, 16,341.85 and 6,806.79

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Solution

The fourth proportional to 11,842.56, 16,341.85 and 6,806.79 is: 9,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.56 : 16,341.85 = 6,806.79 : x
  2. Step 2: Convert to fraction form
    11,842.56/16,341.85 = 6,806.79/x
  3. Step 3: Cross multiply
    11,842.56x = 16,341.85 × 6,806.79
  4. Step 4: Simplify right side
    11,842.56x = 111,235,541.16
  5. Step 5: Solve for x
    x = 111,235,541.16/11,842.56
  6. Step 6: Final answer
    x = 9,392.86

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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.