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Finding the Fourth Proportional to 26,310, 39,471.84 and 7,842

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Solution

The fourth proportional to 26,310, 39,471.84 and 7,842 is: 11,765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,310 : 39,471.84 = 7,842 : x
  2. Step 2: Convert to fraction form
    26,310/39,471.84 = 7,842/x
  3. Step 3: Cross multiply
    26,310x = 39,471.84 × 7,842
  4. Step 4: Simplify right side
    26,310x = 309,538,169.28
  5. Step 5: Solve for x
    x = 309,538,169.28/26,310
  6. Step 6: Final answer
    x = 11,765.04

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