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Finding the Fourth Proportional to 11,576.39, 15,975.36 and 6,271.22

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Solution

The fourth proportional to 11,576.39, 15,975.36 and 6,271.22 is: 8,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.39 : 15,975.36 = 6,271.22 : x
  2. Step 2: Convert to fraction form
    11,576.39/15,975.36 = 6,271.22/x
  3. Step 3: Cross multiply
    11,576.39x = 15,975.36 × 6,271.22
  4. Step 4: Simplify right side
    11,576.39x = 100,184,997.14
  5. Step 5: Solve for x
    x = 100,184,997.14/11,576.39
  6. Step 6: Final answer
    x = 8,654.25

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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.