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Finding the Fourth Proportional to 12,161.32, 16,782.31 and 6,856.09

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Solution

The fourth proportional to 12,161.32, 16,782.31 and 6,856.09 is: 9,461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.32 : 16,782.31 = 6,856.09 : x
  2. Step 2: Convert to fraction form
    12,161.32/16,782.31 = 6,856.09/x
  3. Step 3: Cross multiply
    12,161.32x = 16,782.31 × 6,856.09
  4. Step 4: Simplify right side
    12,161.32x = 115,061,027.77
  5. Step 5: Solve for x
    x = 115,061,027.77/12,161.32
  6. Step 6: Final answer
    x = 9,461.23

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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.