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Finding the Fourth Proportional to 8,050.75, 12,077.16 and 2,856.67

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Solution

The fourth proportional to 8,050.75, 12,077.16 and 2,856.67 is: 4,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,050.75 : 12,077.16 = 2,856.67 : x
  2. Step 2: Convert to fraction form
    8,050.75/12,077.16 = 2,856.67/x
  3. Step 3: Cross multiply
    8,050.75x = 12,077.16 × 2,856.67
  4. Step 4: Simplify right side
    8,050.75x = 34,500,460.66
  5. Step 5: Solve for x
    x = 34,500,460.66/8,050.75
  6. Step 6: Final answer
    x = 4,285.37

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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.