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Finding the Fourth Proportional to 11,806.54, 17,703.84 and 5,234.74

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Solution

The fourth proportional to 11,806.54, 17,703.84 and 5,234.74 is: 7,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.54 : 17,703.84 = 5,234.74 : x
  2. Step 2: Convert to fraction form
    11,806.54/17,703.84 = 5,234.74/x
  3. Step 3: Cross multiply
    11,806.54x = 17,703.84 × 5,234.74
  4. Step 4: Simplify right side
    11,806.54x = 92,674,999.40
  5. Step 5: Solve for x
    x = 92,674,999.40/11,806.54
  6. Step 6: Final answer
    x = 7,849.46

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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.