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Finding the Fourth Proportional to 10,942.60, 16,415.04 and 3,546.76

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Solution

The fourth proportional to 10,942.60, 16,415.04 and 3,546.76 is: 5,320.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.60 : 16,415.04 = 3,546.76 : x
  2. Step 2: Convert to fraction form
    10,942.60/16,415.04 = 3,546.76/x
  3. Step 3: Cross multiply
    10,942.60x = 16,415.04 × 3,546.76
  4. Step 4: Simplify right side
    10,942.60x = 58,220,207.27
  5. Step 5: Solve for x
    x = 58,220,207.27/10,942.60
  6. Step 6: Final answer
    x = 5,320.51

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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.