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Finding the Fourth Proportional to 10,450.64, 14,422.12 and 5,735.22

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Solution

The fourth proportional to 10,450.64, 14,422.12 and 5,735.22 is: 7,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.64 : 14,422.12 = 5,735.22 : x
  2. Step 2: Convert to fraction form
    10,450.64/14,422.12 = 5,735.22/x
  3. Step 3: Cross multiply
    10,450.64x = 14,422.12 × 5,735.22
  4. Step 4: Simplify right side
    10,450.64x = 82,714,031.07
  5. Step 5: Solve for x
    x = 82,714,031.07/10,450.64
  6. Step 6: Final answer
    x = 7,914.73

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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.