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Finding the Fourth Proportional to 11,447.34, 15,797.05 and 6,731.92

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Solution

The fourth proportional to 11,447.34, 15,797.05 and 6,731.92 is: 9,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.34 : 15,797.05 = 6,731.92 : x
  2. Step 2: Convert to fraction form
    11,447.34/15,797.05 = 6,731.92/x
  3. Step 3: Cross multiply
    11,447.34x = 15,797.05 × 6,731.92
  4. Step 4: Simplify right side
    11,447.34x = 106,344,476.84
  5. Step 5: Solve for x
    x = 106,344,476.84/11,447.34
  6. Step 6: Final answer
    x = 9,289.89

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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.