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Finding the Fourth Proportional to 6,782.99, 10,172.84 and 1,852.34

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Solution

The fourth proportional to 6,782.99, 10,172.84 and 1,852.34 is: 2,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.99 : 10,172.84 = 1,852.34 : x
  2. Step 2: Convert to fraction form
    6,782.99/10,172.84 = 1,852.34/x
  3. Step 3: Cross multiply
    6,782.99x = 10,172.84 × 1,852.34
  4. Step 4: Simplify right side
    6,782.99x = 18,843,498.32
  5. Step 5: Solve for x
    x = 18,843,498.32/6,782.99
  6. Step 6: Final answer
    x = 2,778.05

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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.