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Finding the Fourth Proportional to 11,735.26, 16,194.48 and 6,430.06

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Solution

The fourth proportional to 11,735.26, 16,194.48 and 6,430.06 is: 8,873.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.26 : 16,194.48 = 6,430.06 : x
  2. Step 2: Convert to fraction form
    11,735.26/16,194.48 = 6,430.06/x
  3. Step 3: Cross multiply
    11,735.26x = 16,194.48 × 6,430.06
  4. Step 4: Simplify right side
    11,735.26x = 104,131,478.07
  5. Step 5: Solve for x
    x = 104,131,478.07/11,735.26
  6. Step 6: Final answer
    x = 8,873.38

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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.