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Finding the Fourth Proportional to 11,304.63, 16,956.87 and 6,143.31

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Solution

The fourth proportional to 11,304.63, 16,956.87 and 6,143.31 is: 9,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304.63 : 16,956.87 = 6,143.31 : x
  2. Step 2: Convert to fraction form
    11,304.63/16,956.87 = 6,143.31/x
  3. Step 3: Cross multiply
    11,304.63x = 16,956.87 × 6,143.31
  4. Step 4: Simplify right side
    11,304.63x = 104,171,309.04
  5. Step 5: Solve for x
    x = 104,171,309.04/11,304.63
  6. Step 6: Final answer
    x = 9,214.92

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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.