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Finding the Fourth Proportional to 11,525.69, 17,302.34 and 7,816.67

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Solution

The fourth proportional to 11,525.69, 17,302.34 and 7,816.67 is: 11,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.69 : 17,302.34 = 7,816.67 : x
  2. Step 2: Convert to fraction form
    11,525.69/17,302.34 = 7,816.67/x
  3. Step 3: Cross multiply
    11,525.69x = 17,302.34 × 7,816.67
  4. Step 4: Simplify right side
    11,525.69x = 135,246,679.92
  5. Step 5: Solve for x
    x = 135,246,679.92/11,525.69
  6. Step 6: Final answer
    x = 11,734.36

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