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Finding the Fourth Proportional to 10,629.54, 14,668.41 and 5,914.02

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Solution

The fourth proportional to 10,629.54, 14,668.41 and 5,914.02 is: 8,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,629.54 : 14,668.41 = 5,914.02 : x
  2. Step 2: Convert to fraction form
    10,629.54/14,668.41 = 5,914.02/x
  3. Step 3: Cross multiply
    10,629.54x = 14,668.41 × 5,914.02
  4. Step 4: Simplify right side
    10,629.54x = 86,749,270.11
  5. Step 5: Solve for x
    x = 86,749,270.11/10,629.54
  6. Step 6: Final answer
    x = 8,161.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.