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Finding the Fourth Proportional to 10,264.70, 14,164.12 and 5,788.64

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Solution

The fourth proportional to 10,264.70, 14,164.12 and 5,788.64 is: 7,987.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.70 : 14,164.12 = 5,788.64 : x
  2. Step 2: Convert to fraction form
    10,264.70/14,164.12 = 5,788.64/x
  3. Step 3: Cross multiply
    10,264.70x = 14,164.12 × 5,788.64
  4. Step 4: Simplify right side
    10,264.70x = 81,990,991.60
  5. Step 5: Solve for x
    x = 81,990,991.60/10,264.70
  6. Step 6: Final answer
    x = 7,987.67

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