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Finding the Fourth Proportional to 11,945, 17,914.38 and 4,545.48

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Solution

The fourth proportional to 11,945, 17,914.38 and 4,545.48 is: 6,817.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945 : 17,914.38 = 4,545.48 : x
  2. Step 2: Convert to fraction form
    11,945/17,914.38 = 4,545.48/x
  3. Step 3: Cross multiply
    11,945x = 17,914.38 × 4,545.48
  4. Step 4: Simplify right side
    11,945x = 81,429,456.00
  5. Step 5: Solve for x
    x = 81,429,456.00/11,945
  6. Step 6: Final answer
    x = 6,817.03

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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.