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Finding the Fourth Proportional to 11,770.31, 16,244.48 and 6,802.31

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Solution

The fourth proportional to 11,770.31, 16,244.48 and 6,802.31 is: 9,388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.31 : 16,244.48 = 6,802.31 : x
  2. Step 2: Convert to fraction form
    11,770.31/16,244.48 = 6,802.31/x
  3. Step 3: Cross multiply
    11,770.31x = 16,244.48 × 6,802.31
  4. Step 4: Simplify right side
    11,770.31x = 110,499,995.35
  5. Step 5: Solve for x
    x = 110,499,995.35/11,770.31
  6. Step 6: Final answer
    x = 9,388.03

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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.