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Finding the Fourth Proportional to 10,749, 16,121.52 and 3,353.64

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Solution

The fourth proportional to 10,749, 16,121.52 and 3,353.64 is: 5,029.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749 : 16,121.52 = 3,353.64 : x
  2. Step 2: Convert to fraction form
    10,749/16,121.52 = 3,353.64/x
  3. Step 3: Cross multiply
    10,749x = 16,121.52 × 3,353.64
  4. Step 4: Simplify right side
    10,749x = 54,065,774.33
  5. Step 5: Solve for x
    x = 54,065,774.33/10,749
  6. Step 6: Final answer
    x = 5,029.84

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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.