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Finding the Fourth Proportional to 10,446.57, 15,676.23 and 4,522.31

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Solution

The fourth proportional to 10,446.57, 15,676.23 and 4,522.31 is: 6,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.57 : 15,676.23 = 4,522.31 : x
  2. Step 2: Convert to fraction form
    10,446.57/15,676.23 = 4,522.31/x
  3. Step 3: Cross multiply
    10,446.57x = 15,676.23 × 4,522.31
  4. Step 4: Simplify right side
    10,446.57x = 70,892,724.97
  5. Step 5: Solve for x
    x = 70,892,724.97/10,446.57
  6. Step 6: Final answer
    x = 6,786.22

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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.