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Finding the Fourth Proportional to 11,889.72, 16,408.86 and 6,585.54

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Solution

The fourth proportional to 11,889.72, 16,408.86 and 6,585.54 is: 9,088.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.72 : 16,408.86 = 6,585.54 : x
  2. Step 2: Convert to fraction form
    11,889.72/16,408.86 = 6,585.54/x
  3. Step 3: Cross multiply
    11,889.72x = 16,408.86 × 6,585.54
  4. Step 4: Simplify right side
    11,889.72x = 108,061,203.88
  5. Step 5: Solve for x
    x = 108,061,203.88/11,889.72
  6. Step 6: Final answer
    x = 9,088.62

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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.