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Finding the Fourth Proportional to 10,450.01, 14,420.82 and 5,912.64

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Solution

The fourth proportional to 10,450.01, 14,420.82 and 5,912.64 is: 8,159.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.01 : 14,420.82 = 5,912.64 : x
  2. Step 2: Convert to fraction form
    10,450.01/14,420.82 = 5,912.64/x
  3. Step 3: Cross multiply
    10,450.01x = 14,420.82 × 5,912.64
  4. Step 4: Simplify right side
    10,450.01x = 85,265,144.20
  5. Step 5: Solve for x
    x = 85,265,144.20/10,450.01
  6. Step 6: Final answer
    x = 8,159.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.