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Finding the Fourth Proportional to 6,858.98, 10,280.66 and 2,698.21

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Solution

The fourth proportional to 6,858.98, 10,280.66 and 2,698.21 is: 4,044.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.98 : 10,280.66 = 2,698.21 : x
  2. Step 2: Convert to fraction form
    6,858.98/10,280.66 = 2,698.21/x
  3. Step 3: Cross multiply
    6,858.98x = 10,280.66 × 2,698.21
  4. Step 4: Simplify right side
    6,858.98x = 27,739,328.22
  5. Step 5: Solve for x
    x = 27,739,328.22/6,858.98
  6. Step 6: Final answer
    x = 4,044.24

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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.