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Finding the Fourth Proportional to 11,036.70, 16,545.33 and 5,200.38

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Solution

The fourth proportional to 11,036.70, 16,545.33 and 5,200.38 is: 7,795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,036.70 : 16,545.33 = 5,200.38 : x
  2. Step 2: Convert to fraction form
    11,036.70/16,545.33 = 5,200.38/x
  3. Step 3: Cross multiply
    11,036.70x = 16,545.33 × 5,200.38
  4. Step 4: Simplify right side
    11,036.70x = 86,042,003.23
  5. Step 5: Solve for x
    x = 86,042,003.23/11,036.70
  6. Step 6: Final answer
    x = 7,795.99

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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.