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Finding the Fourth Proportional to 7,446.88, 11,162.43 and 3,494.80

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Solution

The fourth proportional to 7,446.88, 11,162.43 and 3,494.80 is: 5,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.88 : 11,162.43 = 3,494.80 : x
  2. Step 2: Convert to fraction form
    7,446.88/11,162.43 = 3,494.80/x
  3. Step 3: Cross multiply
    7,446.88x = 11,162.43 × 3,494.80
  4. Step 4: Simplify right side
    7,446.88x = 39,010,460.36
  5. Step 5: Solve for x
    x = 39,010,460.36/7,446.88
  6. Step 6: Final answer
    x = 5,238.50

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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.