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Finding the Fourth Proportional to 10,655.34, 15,983.75 and 3,259.23

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Solution

The fourth proportional to 10,655.34, 15,983.75 and 3,259.23 is: 4,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.34 : 15,983.75 = 3,259.23 : x
  2. Step 2: Convert to fraction form
    10,655.34/15,983.75 = 3,259.23/x
  3. Step 3: Cross multiply
    10,655.34x = 15,983.75 × 3,259.23
  4. Step 4: Simplify right side
    10,655.34x = 52,094,717.51
  5. Step 5: Solve for x
    x = 52,094,717.51/10,655.34
  6. Step 6: Final answer
    x = 4,889.07

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