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Finding the Fourth Proportional to 6,168.96, 8,524.84 and 4,674.20

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Solution

The fourth proportional to 6,168.96, 8,524.84 and 4,674.20 is: 6,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.96 : 8,524.84 = 4,674.20 : x
  2. Step 2: Convert to fraction form
    6,168.96/8,524.84 = 4,674.20/x
  3. Step 3: Cross multiply
    6,168.96x = 8,524.84 × 4,674.20
  4. Step 4: Simplify right side
    6,168.96x = 39,846,807.13
  5. Step 5: Solve for x
    x = 39,846,807.13/6,168.96
  6. Step 6: Final answer
    x = 6,459.24

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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.