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Finding the Fourth Proportional to 6,856.85, 10,289.23 and 2,907.80

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Solution

The fourth proportional to 6,856.85, 10,289.23 and 2,907.80 is: 4,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.85 : 10,289.23 = 2,907.80 : x
  2. Step 2: Convert to fraction form
    6,856.85/10,289.23 = 2,907.80/x
  3. Step 3: Cross multiply
    6,856.85x = 10,289.23 × 2,907.80
  4. Step 4: Simplify right side
    6,856.85x = 29,919,002.86
  5. Step 5: Solve for x
    x = 29,919,002.86/6,856.85
  6. Step 6: Final answer
    x = 4,363.37

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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.