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Finding the Fourth Proportional to 7,861.57, 11,778.48 and 4,155.64

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Solution

The fourth proportional to 7,861.57, 11,778.48 and 4,155.64 is: 6,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.57 : 11,778.48 = 4,155.64 : x
  2. Step 2: Convert to fraction form
    7,861.57/11,778.48 = 4,155.64/x
  3. Step 3: Cross multiply
    7,861.57x = 11,778.48 × 4,155.64
  4. Step 4: Simplify right side
    7,861.57x = 48,947,093.18
  5. Step 5: Solve for x
    x = 48,947,093.18/7,861.57
  6. Step 6: Final answer
    x = 6,226.12

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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.