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Finding the Fourth Proportional to 11,632.74, 16,052.82 and 6,597.42

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Solution

The fourth proportional to 11,632.74, 16,052.82 and 6,597.42 is: 9,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.74 : 16,052.82 = 6,597.42 : x
  2. Step 2: Convert to fraction form
    11,632.74/16,052.82 = 6,597.42/x
  3. Step 3: Cross multiply
    11,632.74x = 16,052.82 × 6,597.42
  4. Step 4: Simplify right side
    11,632.74x = 105,907,195.72
  5. Step 5: Solve for x
    x = 105,907,195.72/11,632.74
  6. Step 6: Final answer
    x = 9,104.23

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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.