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Finding the Fourth Proportional to 6,800.06, 10,201.02 and 2,120.40

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Solution

The fourth proportional to 6,800.06, 10,201.02 and 2,120.40 is: 3,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.06 : 10,201.02 = 2,120.40 : x
  2. Step 2: Convert to fraction form
    6,800.06/10,201.02 = 2,120.40/x
  3. Step 3: Cross multiply
    6,800.06x = 10,201.02 × 2,120.40
  4. Step 4: Simplify right side
    6,800.06x = 21,630,242.81
  5. Step 5: Solve for x
    x = 21,630,242.81/6,800.06
  6. Step 6: Final answer
    x = 3,180.89

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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.