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Finding the Fourth Proportional to 10,735.36, 16,101.06 and 4,493.68

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Solution

The fourth proportional to 10,735.36, 16,101.06 and 4,493.68 is: 6,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.36 : 16,101.06 = 4,493.68 : x
  2. Step 2: Convert to fraction form
    10,735.36/16,101.06 = 4,493.68/x
  3. Step 3: Cross multiply
    10,735.36x = 16,101.06 × 4,493.68
  4. Step 4: Simplify right side
    10,735.36x = 72,353,011.30
  5. Step 5: Solve for x
    x = 72,353,011.30/10,735.36
  6. Step 6: Final answer
    x = 6,739.69

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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.