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Finding the Fourth Proportional to 11,361.48, 17,049.64 and 6,440.72

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Solution

The fourth proportional to 11,361.48, 17,049.64 and 6,440.72 is: 9,665.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.48 : 17,049.64 = 6,440.72 : x
  2. Step 2: Convert to fraction form
    11,361.48/17,049.64 = 6,440.72/x
  3. Step 3: Cross multiply
    11,361.48x = 17,049.64 × 6,440.72
  4. Step 4: Simplify right side
    11,361.48x = 109,811,957.34
  5. Step 5: Solve for x
    x = 109,811,957.34/11,361.48
  6. Step 6: Final answer
    x = 9,665.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.