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Finding the Fourth Proportional to 11,762.01, 17,634.51 and 5,837.67

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Solution

The fourth proportional to 11,762.01, 17,634.51 and 5,837.67 is: 8,752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.01 : 17,634.51 = 5,837.67 : x
  2. Step 2: Convert to fraction form
    11,762.01/17,634.51 = 5,837.67/x
  3. Step 3: Cross multiply
    11,762.01x = 17,634.51 × 5,837.67
  4. Step 4: Simplify right side
    11,762.01x = 102,944,449.99
  5. Step 5: Solve for x
    x = 102,944,449.99/11,762.01
  6. Step 6: Final answer
    x = 8,752.28

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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.