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Finding the Fourth Proportional to 10,749.96, 16,125 and 3,825

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Solution

The fourth proportional to 10,749.96, 16,125 and 3,825 is: 5,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749.96 : 16,125 = 3,825 : x
  2. Step 2: Convert to fraction form
    10,749.96/16,125 = 3,825/x
  3. Step 3: Cross multiply
    10,749.96x = 16,125 × 3,825
  4. Step 4: Simplify right side
    10,749.96x = 61,678,125
  5. Step 5: Solve for x
    x = 61,678,125/10,749.96
  6. Step 6: Final answer
    x = 5,737.52

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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.