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Finding the Fourth Proportional to 7,338.36, 11,005.62 and 3,178.20

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Solution

The fourth proportional to 7,338.36, 11,005.62 and 3,178.20 is: 4,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.36 : 11,005.62 = 3,178.20 : x
  2. Step 2: Convert to fraction form
    7,338.36/11,005.62 = 3,178.20/x
  3. Step 3: Cross multiply
    7,338.36x = 11,005.62 × 3,178.20
  4. Step 4: Simplify right side
    7,338.36x = 34,978,061.48
  5. Step 5: Solve for x
    x = 34,978,061.48/7,338.36
  6. Step 6: Final answer
    x = 4,766.47

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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.