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Finding the Fourth Proportional to 10,586.04, 15,867.54 and 7,971

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Solution

The fourth proportional to 10,586.04, 15,867.54 and 7,971 is: 11,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,586.04 : 15,867.54 = 7,971 : x
  2. Step 2: Convert to fraction form
    10,586.04/15,867.54 = 7,971/x
  3. Step 3: Cross multiply
    10,586.04x = 15,867.54 × 7,971
  4. Step 4: Simplify right side
    10,586.04x = 126,480,161.34
  5. Step 5: Solve for x
    x = 126,480,161.34/10,586.04
  6. Step 6: Final answer
    x = 11,947.83

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