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Finding the Fourth Proportional to 6,808.70, 10,201.86 and 4,206.26

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Solution

The fourth proportional to 6,808.70, 10,201.86 and 4,206.26 is: 6,302.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.70 : 10,201.86 = 4,206.26 : x
  2. Step 2: Convert to fraction form
    6,808.70/10,201.86 = 4,206.26/x
  3. Step 3: Cross multiply
    6,808.70x = 10,201.86 × 4,206.26
  4. Step 4: Simplify right side
    6,808.70x = 42,911,675.64
  5. Step 5: Solve for x
    x = 42,911,675.64/6,808.70
  6. Step 6: Final answer
    x = 6,302.48

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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.