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Finding the Fourth Proportional to 11,842.67, 16,341.09 and 7,869.62

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Solution

The fourth proportional to 11,842.67, 16,341.09 and 7,869.62 is: 10,858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.67 : 16,341.09 = 7,869.62 : x
  2. Step 2: Convert to fraction form
    11,842.67/16,341.09 = 7,869.62/x
  3. Step 3: Cross multiply
    11,842.67x = 16,341.09 × 7,869.62
  4. Step 4: Simplify right side
    11,842.67x = 128,598,168.69
  5. Step 5: Solve for x
    x = 128,598,168.69/11,842.67
  6. Step 6: Final answer
    x = 10,858.88

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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.