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Finding the Fourth Proportional to 7,317.72, 10,978.20 and 3,420

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Solution

The fourth proportional to 7,317.72, 10,978.20 and 3,420 is: 5,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317.72 : 10,978.20 = 3,420 : x
  2. Step 2: Convert to fraction form
    7,317.72/10,978.20 = 3,420/x
  3. Step 3: Cross multiply
    7,317.72x = 10,978.20 × 3,420
  4. Step 4: Simplify right side
    7,317.72x = 37,545,444
  5. Step 5: Solve for x
    x = 37,545,444/7,317.72
  6. Step 6: Final answer
    x = 5,130.76

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