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Finding the Fourth Proportional to 11,412.57, 15,741.01 and 7,629.09

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Solution

The fourth proportional to 11,412.57, 15,741.01 and 7,629.09 is: 10,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.57 : 15,741.01 = 7,629.09 : x
  2. Step 2: Convert to fraction form
    11,412.57/15,741.01 = 7,629.09/x
  3. Step 3: Cross multiply
    11,412.57x = 15,741.01 × 7,629.09
  4. Step 4: Simplify right side
    11,412.57x = 120,089,532.49
  5. Step 5: Solve for x
    x = 120,089,532.49/11,412.57
  6. Step 6: Final answer
    x = 10,522.56

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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.