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Finding the Fourth Proportional to 10,684.20, 14,743.98 and 6,493.80

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Solution

The fourth proportional to 10,684.20, 14,743.98 and 6,493.80 is: 8,961.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.20 : 14,743.98 = 6,493.80 : x
  2. Step 2: Convert to fraction form
    10,684.20/14,743.98 = 6,493.80/x
  3. Step 3: Cross multiply
    10,684.20x = 14,743.98 × 6,493.80
  4. Step 4: Simplify right side
    10,684.20x = 95,744,457.32
  5. Step 5: Solve for x
    x = 95,744,457.32/10,684.20
  6. Step 6: Final answer
    x = 8,961.31

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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.