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Finding the Fourth Proportional to 10,583.04, 15,874.46 and 6,424.20

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Solution

The fourth proportional to 10,583.04, 15,874.46 and 6,424.20 is: 9,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.04 : 15,874.46 = 6,424.20 : x
  2. Step 2: Convert to fraction form
    10,583.04/15,874.46 = 6,424.20/x
  3. Step 3: Cross multiply
    10,583.04x = 15,874.46 × 6,424.20
  4. Step 4: Simplify right side
    10,583.04x = 101,980,705.93
  5. Step 5: Solve for x
    x = 101,980,705.93/10,583.04
  6. Step 6: Final answer
    x = 9,636.24

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