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Finding the Fourth Proportional to 11,802.98, 16,287.82 and 6,770.18

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Solution

The fourth proportional to 11,802.98, 16,287.82 and 6,770.18 is: 9,342.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.98 : 16,287.82 = 6,770.18 : x
  2. Step 2: Convert to fraction form
    11,802.98/16,287.82 = 6,770.18/x
  3. Step 3: Cross multiply
    11,802.98x = 16,287.82 × 6,770.18
  4. Step 4: Simplify right side
    11,802.98x = 110,271,497.00
  5. Step 5: Solve for x
    x = 110,271,497.00/11,802.98
  6. Step 6: Final answer
    x = 9,342.68

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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.