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Finding the Fourth Proportional to 11,736.33, 16,194.92 and 6,700.02

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Solution

The fourth proportional to 11,736.33, 16,194.92 and 6,700.02 is: 9,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736.33 : 16,194.92 = 6,700.02 : x
  2. Step 2: Convert to fraction form
    11,736.33/16,194.92 = 6,700.02/x
  3. Step 3: Cross multiply
    11,736.33x = 16,194.92 × 6,700.02
  4. Step 4: Simplify right side
    11,736.33x = 108,506,254.40
  5. Step 5: Solve for x
    x = 108,506,254.40/11,736.33
  6. Step 6: Final answer
    x = 9,245.33

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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.