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Finding the Fourth Proportional to 10,735.14, 16,097.22 and 4,493.46

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Solution

The fourth proportional to 10,735.14, 16,097.22 and 4,493.46 is: 6,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.14 : 16,097.22 = 4,493.46 : x
  2. Step 2: Convert to fraction form
    10,735.14/16,097.22 = 4,493.46/x
  3. Step 3: Cross multiply
    10,735.14x = 16,097.22 × 4,493.46
  4. Step 4: Simplify right side
    10,735.14x = 72,332,214.18
  5. Step 5: Solve for x
    x = 72,332,214.18/10,735.14
  6. Step 6: Final answer
    x = 6,737.89

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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.