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Finding the Fourth Proportional to 12,091.36, 18,133.20 and 5,164

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Solution

The fourth proportional to 12,091.36, 18,133.20 and 5,164 is: 7,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.36 : 18,133.20 = 5,164 : x
  2. Step 2: Convert to fraction form
    12,091.36/18,133.20 = 5,164/x
  3. Step 3: Cross multiply
    12,091.36x = 18,133.20 × 5,164
  4. Step 4: Simplify right side
    12,091.36x = 93,639,844.80
  5. Step 5: Solve for x
    x = 93,639,844.80/12,091.36
  6. Step 6: Final answer
    x = 7,744.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.