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Finding the Fourth Proportional to 6,705.40, 10,056.30 and 2,024.68

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Solution

The fourth proportional to 6,705.40, 10,056.30 and 2,024.68 is: 3,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.40 : 10,056.30 = 2,024.68 : x
  2. Step 2: Convert to fraction form
    6,705.40/10,056.30 = 2,024.68/x
  3. Step 3: Cross multiply
    6,705.40x = 10,056.30 × 2,024.68
  4. Step 4: Simplify right side
    6,705.40x = 20,360,789.48
  5. Step 5: Solve for x
    x = 20,360,789.48/6,705.40
  6. Step 6: Final answer
    x = 3,036.48

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