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Finding the Fourth Proportional to 11,609.42, 16,021.07 and 6,304.23

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Solution

The fourth proportional to 11,609.42, 16,021.07 and 6,304.23 is: 8,699.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.42 : 16,021.07 = 6,304.23 : x
  2. Step 2: Convert to fraction form
    11,609.42/16,021.07 = 6,304.23/x
  3. Step 3: Cross multiply
    11,609.42x = 16,021.07 × 6,304.23
  4. Step 4: Simplify right side
    11,609.42x = 101,000,478.60
  5. Step 5: Solve for x
    x = 101,000,478.60/11,609.42
  6. Step 6: Final answer
    x = 8,699.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.