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Finding the Fourth Proportional to 10,219.74, 15,315.42 and 4,659.51

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Solution

The fourth proportional to 10,219.74, 15,315.42 and 4,659.51 is: 6,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.74 : 15,315.42 = 4,659.51 : x
  2. Step 2: Convert to fraction form
    10,219.74/15,315.42 = 4,659.51/x
  3. Step 3: Cross multiply
    10,219.74x = 15,315.42 × 4,659.51
  4. Step 4: Simplify right side
    10,219.74x = 71,362,352.64
  5. Step 5: Solve for x
    x = 71,362,352.64/10,219.74
  6. Step 6: Final answer
    x = 6,982.80

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