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Finding the Fourth Proportional to 6,672.08, 10,003.80 and 3,206

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Solution

The fourth proportional to 6,672.08, 10,003.80 and 3,206 is: 4,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672.08 : 10,003.80 = 3,206 : x
  2. Step 2: Convert to fraction form
    6,672.08/10,003.80 = 3,206/x
  3. Step 3: Cross multiply
    6,672.08x = 10,003.80 × 3,206
  4. Step 4: Simplify right side
    6,672.08x = 32,072,182.80
  5. Step 5: Solve for x
    x = 32,072,182.80/6,672.08
  6. Step 6: Final answer
    x = 4,806.92

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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.