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Finding the Fourth Proportional to 10,504.49, 14,517.09 and 8,613.14

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Solution

The fourth proportional to 10,504.49, 14,517.09 and 8,613.14 is: 11,903.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.49 : 14,517.09 = 8,613.14 : x
  2. Step 2: Convert to fraction form
    10,504.49/14,517.09 = 8,613.14/x
  3. Step 3: Cross multiply
    10,504.49x = 14,517.09 × 8,613.14
  4. Step 4: Simplify right side
    10,504.49x = 125,037,655.98
  5. Step 5: Solve for x
    x = 125,037,655.98/10,504.49
  6. Step 6: Final answer
    x = 11,903.26

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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.