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Finding the Fourth Proportional to 11,667.62, 16,096.74 and 6,561.96

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Solution

The fourth proportional to 11,667.62, 16,096.74 and 6,561.96 is: 9,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,667.62 : 16,096.74 = 6,561.96 : x
  2. Step 2: Convert to fraction form
    11,667.62/16,096.74 = 6,561.96/x
  3. Step 3: Cross multiply
    11,667.62x = 16,096.74 × 6,561.96
  4. Step 4: Simplify right side
    11,667.62x = 105,626,164.01
  5. Step 5: Solve for x
    x = 105,626,164.01/11,667.62
  6. Step 6: Final answer
    x = 9,052.93

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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.