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Finding the Fourth Proportional to 6,147.85, 8,475.44 and 5,199.83

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Solution

The fourth proportional to 6,147.85, 8,475.44 and 5,199.83 is: 7,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.85 : 8,475.44 = 5,199.83 : x
  2. Step 2: Convert to fraction form
    6,147.85/8,475.44 = 5,199.83/x
  3. Step 3: Cross multiply
    6,147.85x = 8,475.44 × 5,199.83
  4. Step 4: Simplify right side
    6,147.85x = 44,070,847.18
  5. Step 5: Solve for x
    x = 44,070,847.18/6,147.85
  6. Step 6: Final answer
    x = 7,168.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.