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Finding the Fourth Proportional to 6,905.36, 10,352.10 and 2,748.30

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Solution

The fourth proportional to 6,905.36, 10,352.10 and 2,748.30 is: 4,120.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.36 : 10,352.10 = 2,748.30 : x
  2. Step 2: Convert to fraction form
    6,905.36/10,352.10 = 2,748.30/x
  3. Step 3: Cross multiply
    6,905.36x = 10,352.10 × 2,748.30
  4. Step 4: Simplify right side
    6,905.36x = 28,450,676.43
  5. Step 5: Solve for x
    x = 28,450,676.43/6,905.36
  6. Step 6: Final answer
    x = 4,120.09

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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.