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Finding the Fourth Proportional to 6,170.32, 8,516.62 and 3,811.10

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Solution

The fourth proportional to 6,170.32, 8,516.62 and 3,811.10 is: 5,260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.32 : 8,516.62 = 3,811.10 : x
  2. Step 2: Convert to fraction form
    6,170.32/8,516.62 = 3,811.10/x
  3. Step 3: Cross multiply
    6,170.32x = 8,516.62 × 3,811.10
  4. Step 4: Simplify right side
    6,170.32x = 32,457,690.48
  5. Step 5: Solve for x
    x = 32,457,690.48/6,170.32
  6. Step 6: Final answer
    x = 5,260.29

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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.