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Finding the Fourth Proportional to 11,744.34, 16,207.04 and 6,439.16

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Solution

The fourth proportional to 11,744.34, 16,207.04 and 6,439.16 is: 8,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.34 : 16,207.04 = 6,439.16 : x
  2. Step 2: Convert to fraction form
    11,744.34/16,207.04 = 6,439.16/x
  3. Step 3: Cross multiply
    11,744.34x = 16,207.04 × 6,439.16
  4. Step 4: Simplify right side
    11,744.34x = 104,359,610.46
  5. Step 5: Solve for x
    x = 104,359,610.46/11,744.34
  6. Step 6: Final answer
    x = 8,885.95

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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.