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Finding the Fourth Proportional to 11,842.31, 16,341.81 and 6,802.96

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Solution

The fourth proportional to 11,842.31, 16,341.81 and 6,802.96 is: 9,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.31 : 16,341.81 = 6,802.96 : x
  2. Step 2: Convert to fraction form
    11,842.31/16,341.81 = 6,802.96/x
  3. Step 3: Cross multiply
    11,842.31x = 16,341.81 × 6,802.96
  4. Step 4: Simplify right side
    11,842.31x = 111,172,679.76
  5. Step 5: Solve for x
    x = 111,172,679.76/11,842.31
  6. Step 6: Final answer
    x = 9,387.75

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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.