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Finding the Fourth Proportional to 10,709.72, 16,071.84 and 3,784.22

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Solution

The fourth proportional to 10,709.72, 16,071.84 and 3,784.22 is: 5,678.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.72 : 16,071.84 = 3,784.22 : x
  2. Step 2: Convert to fraction form
    10,709.72/16,071.84 = 3,784.22/x
  3. Step 3: Cross multiply
    10,709.72x = 16,071.84 × 3,784.22
  4. Step 4: Simplify right side
    10,709.72x = 60,819,298.01
  5. Step 5: Solve for x
    x = 60,819,298.01/10,709.72
  6. Step 6: Final answer
    x = 5,678.89

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