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Finding the Fourth Proportional to 11,842.14, 16,343.01 and 6,807.59

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Solution

The fourth proportional to 11,842.14, 16,343.01 and 6,807.59 is: 9,394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.14 : 16,343.01 = 6,807.59 : x
  2. Step 2: Convert to fraction form
    11,842.14/16,343.01 = 6,807.59/x
  3. Step 3: Cross multiply
    11,842.14x = 16,343.01 × 6,807.59
  4. Step 4: Simplify right side
    11,842.14x = 111,256,429.73
  5. Step 5: Solve for x
    x = 111,256,429.73/11,842.14
  6. Step 6: Final answer
    x = 9,394.96

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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.