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Finding the Fourth Proportional to 7,672.82, 11,506.62 and 2,992.46

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Solution

The fourth proportional to 7,672.82, 11,506.62 and 2,992.46 is: 4,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.82 : 11,506.62 = 2,992.46 : x
  2. Step 2: Convert to fraction form
    7,672.82/11,506.62 = 2,992.46/x
  3. Step 3: Cross multiply
    7,672.82x = 11,506.62 × 2,992.46
  4. Step 4: Simplify right side
    7,672.82x = 34,433,100.09
  5. Step 5: Solve for x
    x = 34,433,100.09/7,672.82
  6. Step 6: Final answer
    x = 4,487.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.