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Finding the Fourth Proportional to 10,494.51, 14,470.43 and 7,837.44

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Solution

The fourth proportional to 10,494.51, 14,470.43 and 7,837.44 is: 10,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.51 : 14,470.43 = 7,837.44 : x
  2. Step 2: Convert to fraction form
    10,494.51/14,470.43 = 7,837.44/x
  3. Step 3: Cross multiply
    10,494.51x = 14,470.43 × 7,837.44
  4. Step 4: Simplify right side
    10,494.51x = 113,411,087.71
  5. Step 5: Solve for x
    x = 113,411,087.71/10,494.51
  6. Step 6: Final answer
    x = 10,806.71

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