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Finding the Fourth Proportional to 10,713.96, 16,068.36 and 5,163.84

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Solution

The fourth proportional to 10,713.96, 16,068.36 and 5,163.84 is: 7,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.96 : 16,068.36 = 5,163.84 : x
  2. Step 2: Convert to fraction form
    10,713.96/16,068.36 = 5,163.84/x
  3. Step 3: Cross multiply
    10,713.96x = 16,068.36 × 5,163.84
  4. Step 4: Simplify right side
    10,713.96x = 82,974,440.10
  5. Step 5: Solve for x
    x = 82,974,440.10/10,713.96
  6. Step 6: Final answer
    x = 7,744.52

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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.