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Finding the Fourth Proportional to 7,188.19, 10,782.28 and 1,994.06

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Solution

The fourth proportional to 7,188.19, 10,782.28 and 1,994.06 is: 2,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.19 : 10,782.28 = 1,994.06 : x
  2. Step 2: Convert to fraction form
    7,188.19/10,782.28 = 1,994.06/x
  3. Step 3: Cross multiply
    7,188.19x = 10,782.28 × 1,994.06
  4. Step 4: Simplify right side
    7,188.19x = 21,500,542.71
  5. Step 5: Solve for x
    x = 21,500,542.71/7,188.19
  6. Step 6: Final answer
    x = 2,991.09

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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.