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Finding the Fourth Proportional to 10,320.96, 14,243.04 and 6,072.96

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Solution

The fourth proportional to 10,320.96, 14,243.04 and 6,072.96 is: 8,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320.96 : 14,243.04 = 6,072.96 : x
  2. Step 2: Convert to fraction form
    10,320.96/14,243.04 = 6,072.96/x
  3. Step 3: Cross multiply
    10,320.96x = 14,243.04 × 6,072.96
  4. Step 4: Simplify right side
    10,320.96x = 86,497,412.20
  5. Step 5: Solve for x
    x = 86,497,412.20/10,320.96
  6. Step 6: Final answer
    x = 8,380.75

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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.