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Finding the Fourth Proportional to 10,954.38, 16,412.13 and 5,763.90

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Solution

The fourth proportional to 10,954.38, 16,412.13 and 5,763.90 is: 8,635.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.38 : 16,412.13 = 5,763.90 : x
  2. Step 2: Convert to fraction form
    10,954.38/16,412.13 = 5,763.90/x
  3. Step 3: Cross multiply
    10,954.38x = 16,412.13 × 5,763.90
  4. Step 4: Simplify right side
    10,954.38x = 94,597,876.11
  5. Step 5: Solve for x
    x = 94,597,876.11/10,954.38
  6. Step 6: Final answer
    x = 8,635.62

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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.