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Finding the Fourth Proportional to 6,783.12, 10,172 and 2,620.84

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Solution

The fourth proportional to 6,783.12, 10,172 and 2,620.84 is: 3,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.12 : 10,172 = 2,620.84 : x
  2. Step 2: Convert to fraction form
    6,783.12/10,172 = 2,620.84/x
  3. Step 3: Cross multiply
    6,783.12x = 10,172 × 2,620.84
  4. Step 4: Simplify right side
    6,783.12x = 26,659,184.48
  5. Step 5: Solve for x
    x = 26,659,184.48/6,783.12
  6. Step 6: Final answer
    x = 3,930.22

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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.