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Finding the Fourth Proportional to 7,687.72, 11,516.40 and 3,992.36

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Solution

The fourth proportional to 7,687.72, 11,516.40 and 3,992.36 is: 5,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.72 : 11,516.40 = 3,992.36 : x
  2. Step 2: Convert to fraction form
    7,687.72/11,516.40 = 3,992.36/x
  3. Step 3: Cross multiply
    7,687.72x = 11,516.40 × 3,992.36
  4. Step 4: Simplify right side
    7,687.72x = 45,977,614.70
  5. Step 5: Solve for x
    x = 45,977,614.70/7,687.72
  6. Step 6: Final answer
    x = 5,980.66

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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.