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Finding the Fourth Proportional to 11,612.48, 16,025.51 and 6,832.76

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Solution

The fourth proportional to 11,612.48, 16,025.51 and 6,832.76 is: 9,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.48 : 16,025.51 = 6,832.76 : x
  2. Step 2: Convert to fraction form
    11,612.48/16,025.51 = 6,832.76/x
  3. Step 3: Cross multiply
    11,612.48x = 16,025.51 × 6,832.76
  4. Step 4: Simplify right side
    11,612.48x = 109,498,400.66
  5. Step 5: Solve for x
    x = 109,498,400.66/11,612.48
  6. Step 6: Final answer
    x = 9,429.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.