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Finding the Fourth Proportional to 11,609.56, 16,021 and 6,304.36

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Solution

The fourth proportional to 11,609.56, 16,021 and 6,304.36 is: 8,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.56 : 16,021 = 6,304.36 : x
  2. Step 2: Convert to fraction form
    11,609.56/16,021 = 6,304.36/x
  3. Step 3: Cross multiply
    11,609.56x = 16,021 × 6,304.36
  4. Step 4: Simplify right side
    11,609.56x = 101,002,151.56
  5. Step 5: Solve for x
    x = 101,002,151.56/11,609.56
  6. Step 6: Final answer
    x = 8,699.91

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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.