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Finding the Fourth Proportional to 10,971.60, 16,445.88 and 7,891.92

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Solution

The fourth proportional to 10,971.60, 16,445.88 and 7,891.92 is: 11,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.60 : 16,445.88 = 7,891.92 : x
  2. Step 2: Convert to fraction form
    10,971.60/16,445.88 = 7,891.92/x
  3. Step 3: Cross multiply
    10,971.60x = 16,445.88 × 7,891.92
  4. Step 4: Simplify right side
    10,971.60x = 129,789,569.29
  5. Step 5: Solve for x
    x = 129,789,569.29/10,971.60
  6. Step 6: Final answer
    x = 11,829.59

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