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Finding the Fourth Proportional to 10,810, 14,917.82 and 5,842

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Solution

The fourth proportional to 10,810, 14,917.82 and 5,842 is: 8,061.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810 : 14,917.82 = 5,842 : x
  2. Step 2: Convert to fraction form
    10,810/14,917.82 = 5,842/x
  3. Step 3: Cross multiply
    10,810x = 14,917.82 × 5,842
  4. Step 4: Simplify right side
    10,810x = 87,149,904.44
  5. Step 5: Solve for x
    x = 87,149,904.44/10,810
  6. Step 6: Final answer
    x = 8,061.97

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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.