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Finding the Fourth Proportional to 11,516.72, 15,892.90 and 6,739.94

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Solution

The fourth proportional to 11,516.72, 15,892.90 and 6,739.94 is: 9,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,516.72 : 15,892.90 = 6,739.94 : x
  2. Step 2: Convert to fraction form
    11,516.72/15,892.90 = 6,739.94/x
  3. Step 3: Cross multiply
    11,516.72x = 15,892.90 × 6,739.94
  4. Step 4: Simplify right side
    11,516.72x = 107,117,215.31
  5. Step 5: Solve for x
    x = 107,117,215.31/11,516.72
  6. Step 6: Final answer
    x = 9,301.02

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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.