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Finding the Fourth Proportional to 10,451.36, 14,422.74 and 5,735.64

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Solution

The fourth proportional to 10,451.36, 14,422.74 and 5,735.64 is: 7,915.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.36 : 14,422.74 = 5,735.64 : x
  2. Step 2: Convert to fraction form
    10,451.36/14,422.74 = 5,735.64/x
  3. Step 3: Cross multiply
    10,451.36x = 14,422.74 × 5,735.64
  4. Step 4: Simplify right side
    10,451.36x = 82,723,644.45
  5. Step 5: Solve for x
    x = 82,723,644.45/10,451.36
  6. Step 6: Final answer
    x = 7,915.11

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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.