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Finding the Fourth Proportional to 7,996.38, 11,994.77 and 2,802.25

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Solution

The fourth proportional to 7,996.38, 11,994.77 and 2,802.25 is: 4,203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,996.38 : 11,994.77 = 2,802.25 : x
  2. Step 2: Convert to fraction form
    7,996.38/11,994.77 = 2,802.25/x
  3. Step 3: Cross multiply
    7,996.38x = 11,994.77 × 2,802.25
  4. Step 4: Simplify right side
    7,996.38x = 33,612,344.23
  5. Step 5: Solve for x
    x = 33,612,344.23/7,996.38
  6. Step 6: Final answer
    x = 4,203.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.