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Finding the Fourth Proportional to 7,926.44, 11,902.23 and 7,643.52

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Solution

The fourth proportional to 7,926.44, 11,902.23 and 7,643.52 is: 11,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926.44 : 11,902.23 = 7,643.52 : x
  2. Step 2: Convert to fraction form
    7,926.44/11,902.23 = 7,643.52/x
  3. Step 3: Cross multiply
    7,926.44x = 11,902.23 × 7,643.52
  4. Step 4: Simplify right side
    7,926.44x = 90,974,933.05
  5. Step 5: Solve for x
    x = 90,974,933.05/7,926.44
  6. Step 6: Final answer
    x = 11,477.41

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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.