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Finding the Fourth Proportional to 10,450.35, 15,676.03 and 4,209.52

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Solution

The fourth proportional to 10,450.35, 15,676.03 and 4,209.52 is: 6,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.35 : 15,676.03 = 4,209.52 : x
  2. Step 2: Convert to fraction form
    10,450.35/15,676.03 = 4,209.52/x
  3. Step 3: Cross multiply
    10,450.35x = 15,676.03 × 4,209.52
  4. Step 4: Simplify right side
    10,450.35x = 65,988,557.27
  5. Step 5: Solve for x
    x = 65,988,557.27/10,450.35
  6. Step 6: Final answer
    x = 6,314.48

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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.