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Finding the Fourth Proportional to 11,609.74, 16,021.38 and 6,304.60

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Solution

The fourth proportional to 11,609.74, 16,021.38 and 6,304.60 is: 8,700.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.74 : 16,021.38 = 6,304.60 : x
  2. Step 2: Convert to fraction form
    11,609.74/16,021.38 = 6,304.60/x
  3. Step 3: Cross multiply
    11,609.74x = 16,021.38 × 6,304.60
  4. Step 4: Simplify right side
    11,609.74x = 101,008,392.35
  5. Step 5: Solve for x
    x = 101,008,392.35/11,609.74
  6. Step 6: Final answer
    x = 8,700.31

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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.