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Finding the Fourth Proportional to 11,099.62, 15,296.42 and 7,950.34

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Solution

The fourth proportional to 11,099.62, 15,296.42 and 7,950.34 is: 10,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099.62 : 15,296.42 = 7,950.34 : x
  2. Step 2: Convert to fraction form
    11,099.62/15,296.42 = 7,950.34/x
  3. Step 3: Cross multiply
    11,099.62x = 15,296.42 × 7,950.34
  4. Step 4: Simplify right side
    11,099.62x = 121,611,739.78
  5. Step 5: Solve for x
    x = 121,611,739.78/11,099.62
  6. Step 6: Final answer
    x = 10,956.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.