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Finding the Fourth Proportional to 10,200.33, 14,072.94 and 5,723.46

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Solution

The fourth proportional to 10,200.33, 14,072.94 and 5,723.46 is: 7,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.33 : 14,072.94 = 5,723.46 : x
  2. Step 2: Convert to fraction form
    10,200.33/14,072.94 = 5,723.46/x
  3. Step 3: Cross multiply
    10,200.33x = 14,072.94 × 5,723.46
  4. Step 4: Simplify right side
    10,200.33x = 80,545,909.17
  5. Step 5: Solve for x
    x = 80,545,909.17/10,200.33
  6. Step 6: Final answer
    x = 7,896.40

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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.