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Finding the Fourth Proportional to 10,381.92, 14,326.92 and 5,666.46

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Solution

The fourth proportional to 10,381.92, 14,326.92 and 5,666.46 is: 7,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.92 : 14,326.92 = 5,666.46 : x
  2. Step 2: Convert to fraction form
    10,381.92/14,326.92 = 5,666.46/x
  3. Step 3: Cross multiply
    10,381.92x = 14,326.92 × 5,666.46
  4. Step 4: Simplify right side
    10,381.92x = 81,182,919.10
  5. Step 5: Solve for x
    x = 81,182,919.10/10,381.92
  6. Step 6: Final answer
    x = 7,819.64

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