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Finding the Fourth Proportional to 7,188.24, 10,782.42 and 1,994.52

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Solution

The fourth proportional to 7,188.24, 10,782.42 and 1,994.52 is: 2,991.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.24 : 10,782.42 = 1,994.52 : x
  2. Step 2: Convert to fraction form
    7,188.24/10,782.42 = 1,994.52/x
  3. Step 3: Cross multiply
    7,188.24x = 10,782.42 × 1,994.52
  4. Step 4: Simplify right side
    7,188.24x = 21,505,752.34
  5. Step 5: Solve for x
    x = 21,505,752.34/7,188.24
  6. Step 6: Final answer
    x = 2,991.80

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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.