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Finding the Fourth Proportional to 7,583.84, 11,375.79 and 4,142.96

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Solution

The fourth proportional to 7,583.84, 11,375.79 and 4,142.96 is: 6,214.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.84 : 11,375.79 = 4,142.96 : x
  2. Step 2: Convert to fraction form
    7,583.84/11,375.79 = 4,142.96/x
  3. Step 3: Cross multiply
    7,583.84x = 11,375.79 × 4,142.96
  4. Step 4: Simplify right side
    7,583.84x = 47,129,442.94
  5. Step 5: Solve for x
    x = 47,129,442.94/7,583.84
  6. Step 6: Final answer
    x = 6,214.46

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