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Finding the Fourth Proportional to 11,576.69, 15,975.82 and 6,271.53

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Solution

The fourth proportional to 11,576.69, 15,975.82 and 6,271.53 is: 8,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.69 : 15,975.82 = 6,271.53 : x
  2. Step 2: Convert to fraction form
    11,576.69/15,975.82 = 6,271.53/x
  3. Step 3: Cross multiply
    11,576.69x = 15,975.82 × 6,271.53
  4. Step 4: Simplify right side
    11,576.69x = 100,192,747.06
  5. Step 5: Solve for x
    x = 100,192,747.06/11,576.69
  6. Step 6: Final answer
    x = 8,654.70

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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.