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Finding the Fourth Proportional to 10,638.96, 14,680.04 and 5,923.12

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Solution

The fourth proportional to 10,638.96, 14,680.04 and 5,923.12 is: 8,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.96 : 14,680.04 = 5,923.12 : x
  2. Step 2: Convert to fraction form
    10,638.96/14,680.04 = 5,923.12/x
  3. Step 3: Cross multiply
    10,638.96x = 14,680.04 × 5,923.12
  4. Step 4: Simplify right side
    10,638.96x = 86,951,638.52
  5. Step 5: Solve for x
    x = 86,951,638.52/10,638.96
  6. Step 6: Final answer
    x = 8,172.95

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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.