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Finding the Fourth Proportional to 11,634.63, 16,054.57 and 6,597.24

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Solution

The fourth proportional to 11,634.63, 16,054.57 and 6,597.24 is: 9,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.63 : 16,054.57 = 6,597.24 : x
  2. Step 2: Convert to fraction form
    11,634.63/16,054.57 = 6,597.24/x
  3. Step 3: Cross multiply
    11,634.63x = 16,054.57 × 6,597.24
  4. Step 4: Simplify right side
    11,634.63x = 105,915,754.62
  5. Step 5: Solve for x
    x = 105,915,754.62/11,634.63
  6. Step 6: Final answer
    x = 9,103.50

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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.