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Finding the Fourth Proportional to 11,576.82, 15,975.94 and 6,542.67

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Solution

The fourth proportional to 11,576.82, 15,975.94 and 6,542.67 is: 9,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.82 : 15,975.94 = 6,542.67 : x
  2. Step 2: Convert to fraction form
    11,576.82/15,975.94 = 6,542.67/x
  3. Step 3: Cross multiply
    11,576.82x = 15,975.94 × 6,542.67
  4. Step 4: Simplify right side
    11,576.82x = 104,525,303.36
  5. Step 5: Solve for x
    x = 104,525,303.36/11,576.82
  6. Step 6: Final answer
    x = 9,028.84

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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.