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Finding the Fourth Proportional to 10,883.34, 16,326 and 3,862.65

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Solution

The fourth proportional to 10,883.34, 16,326 and 3,862.65 is: 5,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,883.34 : 16,326 = 3,862.65 : x
  2. Step 2: Convert to fraction form
    10,883.34/16,326 = 3,862.65/x
  3. Step 3: Cross multiply
    10,883.34x = 16,326 × 3,862.65
  4. Step 4: Simplify right side
    10,883.34x = 63,061,623.90
  5. Step 5: Solve for x
    x = 63,061,623.90/10,883.34
  6. Step 6: Final answer
    x = 5,794.33

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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.