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Finding the Fourth Proportional to 6,852.08, 10,277.04 and 2,234

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Solution

The fourth proportional to 6,852.08, 10,277.04 and 2,234 is: 3,350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.08 : 10,277.04 = 2,234 : x
  2. Step 2: Convert to fraction form
    6,852.08/10,277.04 = 2,234/x
  3. Step 3: Cross multiply
    6,852.08x = 10,277.04 × 2,234
  4. Step 4: Simplify right side
    6,852.08x = 22,958,907.36
  5. Step 5: Solve for x
    x = 22,958,907.36/6,852.08
  6. Step 6: Final answer
    x = 3,350.65

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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.