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Finding the Fourth Proportional to 11,633.68, 16,055.22 and 6,597.88

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Solution

The fourth proportional to 11,633.68, 16,055.22 and 6,597.88 is: 9,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.68 : 16,055.22 = 6,597.88 : x
  2. Step 2: Convert to fraction form
    11,633.68/16,055.22 = 6,597.88/x
  3. Step 3: Cross multiply
    11,633.68x = 16,055.22 × 6,597.88
  4. Step 4: Simplify right side
    11,633.68x = 105,930,414.93
  5. Step 5: Solve for x
    x = 105,930,414.93/11,633.68
  6. Step 6: Final answer
    x = 9,105.49

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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.