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Finding the Fourth Proportional to 10,451.94, 14,423.67 and 5,736.22

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Solution

The fourth proportional to 10,451.94, 14,423.67 and 5,736.22 is: 7,915.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.94 : 14,423.67 = 5,736.22 : x
  2. Step 2: Convert to fraction form
    10,451.94/14,423.67 = 5,736.22/x
  3. Step 3: Cross multiply
    10,451.94x = 14,423.67 × 5,736.22
  4. Step 4: Simplify right side
    10,451.94x = 82,737,344.33
  5. Step 5: Solve for x
    x = 82,737,344.33/10,451.94
  6. Step 6: Final answer
    x = 7,915.98

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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.