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Finding the Fourth Proportional to 10,629.84, 14,668.77 and 5,914.02

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Solution

The fourth proportional to 10,629.84, 14,668.77 and 5,914.02 is: 8,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,629.84 : 14,668.77 = 5,914.02 : x
  2. Step 2: Convert to fraction form
    10,629.84/14,668.77 = 5,914.02/x
  3. Step 3: Cross multiply
    10,629.84x = 14,668.77 × 5,914.02
  4. Step 4: Simplify right side
    10,629.84x = 86,751,325.81
  5. Step 5: Solve for x
    x = 86,751,325.81/10,629.84
  6. Step 6: Final answer
    x = 8,161.12

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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.