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Finding the Fourth Proportional to 6,322.68, 8,728.11 and 4,085.64

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Solution

The fourth proportional to 6,322.68, 8,728.11 and 4,085.64 is: 5,640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.68 : 8,728.11 = 4,085.64 : x
  2. Step 2: Convert to fraction form
    6,322.68/8,728.11 = 4,085.64/x
  3. Step 3: Cross multiply
    6,322.68x = 8,728.11 × 4,085.64
  4. Step 4: Simplify right side
    6,322.68x = 35,659,915.34
  5. Step 5: Solve for x
    x = 35,659,915.34/6,322.68
  6. Step 6: Final answer
    x = 5,640.00

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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.