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Finding the Fourth Proportional to 11,842.96, 16,343.29 and 6,537.78

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Solution

The fourth proportional to 11,842.96, 16,343.29 and 6,537.78 is: 9,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.96 : 16,343.29 = 6,537.78 : x
  2. Step 2: Convert to fraction form
    11,842.96/16,343.29 = 6,537.78/x
  3. Step 3: Cross multiply
    11,842.96x = 16,343.29 × 6,537.78
  4. Step 4: Simplify right side
    11,842.96x = 106,848,834.50
  5. Step 5: Solve for x
    x = 106,848,834.50/11,842.96
  6. Step 6: Final answer
    x = 9,022.14

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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.