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Finding the Fourth Proportional to 11,796.98, 16,275.20 and 6,758.51

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Solution

The fourth proportional to 11,796.98, 16,275.20 and 6,758.51 is: 9,324.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.98 : 16,275.20 = 6,758.51 : x
  2. Step 2: Convert to fraction form
    11,796.98/16,275.20 = 6,758.51/x
  3. Step 3: Cross multiply
    11,796.98x = 16,275.20 × 6,758.51
  4. Step 4: Simplify right side
    11,796.98x = 109,995,986.78
  5. Step 5: Solve for x
    x = 109,995,986.78/11,796.98
  6. Step 6: Final answer
    x = 9,324.08

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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.