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Finding the Fourth Proportional to 11,817.74, 17,732.79 and 7,656.67

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Solution

The fourth proportional to 11,817.74, 17,732.79 and 7,656.67 is: 11,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.74 : 17,732.79 = 7,656.67 : x
  2. Step 2: Convert to fraction form
    11,817.74/17,732.79 = 7,656.67/x
  3. Step 3: Cross multiply
    11,817.74x = 17,732.79 × 7,656.67
  4. Step 4: Simplify right side
    11,817.74x = 135,774,143.38
  5. Step 5: Solve for x
    x = 135,774,143.38/11,817.74
  6. Step 6: Final answer
    x = 11,489.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.