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Finding the Fourth Proportional to 6,848.82, 10,266.83 and 3,724.20

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Solution

The fourth proportional to 6,848.82, 10,266.83 and 3,724.20 is: 5,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.82 : 10,266.83 = 3,724.20 : x
  2. Step 2: Convert to fraction form
    6,848.82/10,266.83 = 3,724.20/x
  3. Step 3: Cross multiply
    6,848.82x = 10,266.83 × 3,724.20
  4. Step 4: Simplify right side
    6,848.82x = 38,235,728.29
  5. Step 5: Solve for x
    x = 38,235,728.29/6,848.82
  6. Step 6: Final answer
    x = 5,582.82

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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.