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Finding the Fourth Proportional to 10,678.74, 14,741.64 and 7,144.26

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Solution

The fourth proportional to 10,678.74, 14,741.64 and 7,144.26 is: 9,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.74 : 14,741.64 = 7,144.26 : x
  2. Step 2: Convert to fraction form
    10,678.74/14,741.64 = 7,144.26/x
  3. Step 3: Cross multiply
    10,678.74x = 14,741.64 × 7,144.26
  4. Step 4: Simplify right side
    10,678.74x = 105,318,108.99
  5. Step 5: Solve for x
    x = 105,318,108.99/10,678.74
  6. Step 6: Final answer
    x = 9,862.41

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