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Finding the Fourth Proportional to 10,954.83, 16,396.50 and 5,949.64

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Solution

The fourth proportional to 10,954.83, 16,396.50 and 5,949.64 is: 8,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.83 : 16,396.50 = 5,949.64 : x
  2. Step 2: Convert to fraction form
    10,954.83/16,396.50 = 5,949.64/x
  3. Step 3: Cross multiply
    10,954.83x = 16,396.50 × 5,949.64
  4. Step 4: Simplify right side
    10,954.83x = 97,553,272.26
  5. Step 5: Solve for x
    x = 97,553,272.26/10,954.83
  6. Step 6: Final answer
    x = 8,905.05

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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.