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Finding the Fourth Proportional to 11,915.37, 16,450.47 and 7,443

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Solution

The fourth proportional to 11,915.37, 16,450.47 and 7,443 is: 10,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.37 : 16,450.47 = 7,443 : x
  2. Step 2: Convert to fraction form
    11,915.37/16,450.47 = 7,443/x
  3. Step 3: Cross multiply
    11,915.37x = 16,450.47 × 7,443
  4. Step 4: Simplify right side
    11,915.37x = 122,440,848.21
  5. Step 5: Solve for x
    x = 122,440,848.21/11,915.37
  6. Step 6: Final answer
    x = 10,275.87

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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.