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Finding the Fourth Proportional to 10,021.62, 13,830.04 and 5,545.26

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Solution

The fourth proportional to 10,021.62, 13,830.04 and 5,545.26 is: 7,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.62 : 13,830.04 = 5,545.26 : x
  2. Step 2: Convert to fraction form
    10,021.62/13,830.04 = 5,545.26/x
  3. Step 3: Cross multiply
    10,021.62x = 13,830.04 × 5,545.26
  4. Step 4: Simplify right side
    10,021.62x = 76,691,174.54
  5. Step 5: Solve for x
    x = 76,691,174.54/10,021.62
  6. Step 6: Final answer
    x = 7,652.57

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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.