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Finding the Fourth Proportional to 10,954.87, 16,434.51 and 3,459.60

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Solution

The fourth proportional to 10,954.87, 16,434.51 and 3,459.60 is: 5,190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.87 : 16,434.51 = 3,459.60 : x
  2. Step 2: Convert to fraction form
    10,954.87/16,434.51 = 3,459.60/x
  3. Step 3: Cross multiply
    10,954.87x = 16,434.51 × 3,459.60
  4. Step 4: Simplify right side
    10,954.87x = 56,856,764.84
  5. Step 5: Solve for x
    x = 56,856,764.84/10,954.87
  6. Step 6: Final answer
    x = 5,190.09

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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.