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Finding the Fourth Proportional to 6,899.90, 10,342.49 and 2,738.12

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Solution

The fourth proportional to 6,899.90, 10,342.49 and 2,738.12 is: 4,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.90 : 10,342.49 = 2,738.12 : x
  2. Step 2: Convert to fraction form
    6,899.90/10,342.49 = 2,738.12/x
  3. Step 3: Cross multiply
    6,899.90x = 10,342.49 × 2,738.12
  4. Step 4: Simplify right side
    6,899.90x = 28,318,913.32
  5. Step 5: Solve for x
    x = 28,318,913.32/6,899.90
  6. Step 6: Final answer
    x = 4,104.25

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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.