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Finding the Fourth Proportional to 10,506.49, 14,519.85 and 8,615.14

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Solution

The fourth proportional to 10,506.49, 14,519.85 and 8,615.14 is: 11,906.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.49 : 14,519.85 = 8,615.14 : x
  2. Step 2: Convert to fraction form
    10,506.49/14,519.85 = 8,615.14/x
  3. Step 3: Cross multiply
    10,506.49x = 14,519.85 × 8,615.14
  4. Step 4: Simplify right side
    10,506.49x = 125,090,540.53
  5. Step 5: Solve for x
    x = 125,090,540.53/10,506.49
  6. Step 6: Final answer
    x = 11,906.03

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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.