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Finding the Fourth Proportional to 11,832.66, 16,329.60 and 6,798.51

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Solution

The fourth proportional to 11,832.66, 16,329.60 and 6,798.51 is: 9,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.66 : 16,329.60 = 6,798.51 : x
  2. Step 2: Convert to fraction form
    11,832.66/16,329.60 = 6,798.51/x
  3. Step 3: Cross multiply
    11,832.66x = 16,329.60 × 6,798.51
  4. Step 4: Simplify right side
    11,832.66x = 111,016,948.90
  5. Step 5: Solve for x
    x = 111,016,948.90/11,832.66
  6. Step 6: Final answer
    x = 9,382.25

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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.