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Finding the Fourth Proportional to 7,592.49, 11,384.01 and 2,662.61

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Solution

The fourth proportional to 7,592.49, 11,384.01 and 2,662.61 is: 3,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.49 : 11,384.01 = 2,662.61 : x
  2. Step 2: Convert to fraction form
    7,592.49/11,384.01 = 2,662.61/x
  3. Step 3: Cross multiply
    7,592.49x = 11,384.01 × 2,662.61
  4. Step 4: Simplify right side
    7,592.49x = 30,311,121.95
  5. Step 5: Solve for x
    x = 30,311,121.95/7,592.49
  6. Step 6: Final answer
    x = 3,992.25

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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.