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Finding the Fourth Proportional to 10,394.68, 14,340.09 and 6,200.50

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Solution

The fourth proportional to 10,394.68, 14,340.09 and 6,200.50 is: 8,553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.68 : 14,340.09 = 6,200.50 : x
  2. Step 2: Convert to fraction form
    10,394.68/14,340.09 = 6,200.50/x
  3. Step 3: Cross multiply
    10,394.68x = 14,340.09 × 6,200.50
  4. Step 4: Simplify right side
    10,394.68x = 88,915,728.05
  5. Step 5: Solve for x
    x = 88,915,728.05/10,394.68
  6. Step 6: Final answer
    x = 8,553.96

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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.