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Finding the Fourth Proportional to 11,612.31, 16,024.74 and 6,832.77

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Solution

The fourth proportional to 11,612.31, 16,024.74 and 6,832.77 is: 9,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.31 : 16,024.74 = 6,832.77 : x
  2. Step 2: Convert to fraction form
    11,612.31/16,024.74 = 6,832.77/x
  3. Step 3: Cross multiply
    11,612.31x = 16,024.74 × 6,832.77
  4. Step 4: Simplify right side
    11,612.31x = 109,493,362.73
  5. Step 5: Solve for x
    x = 109,493,362.73/11,612.31
  6. Step 6: Final answer
    x = 9,429.08

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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.