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Finding the Fourth Proportional to 6,768.05, 10,141.43 and 5,206.16

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Solution

The fourth proportional to 6,768.05, 10,141.43 and 5,206.16 is: 7,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.05 : 10,141.43 = 5,206.16 : x
  2. Step 2: Convert to fraction form
    6,768.05/10,141.43 = 5,206.16/x
  3. Step 3: Cross multiply
    6,768.05x = 10,141.43 × 5,206.16
  4. Step 4: Simplify right side
    6,768.05x = 52,797,881.18
  5. Step 5: Solve for x
    x = 52,797,881.18/6,768.05
  6. Step 6: Final answer
    x = 7,801.05

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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.