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Finding the Fourth Proportional to 12,760.34, 17,596.44 and 8,511.48

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Solution

The fourth proportional to 12,760.34, 17,596.44 and 8,511.48 is: 11,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760.34 : 17,596.44 = 8,511.48 : x
  2. Step 2: Convert to fraction form
    12,760.34/17,596.44 = 8,511.48/x
  3. Step 3: Cross multiply
    12,760.34x = 17,596.44 × 8,511.48
  4. Step 4: Simplify right side
    12,760.34x = 149,771,747.13
  5. Step 5: Solve for x
    x = 149,771,747.13/12,760.34
  6. Step 6: Final answer
    x = 11,737.29

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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.