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Finding the Fourth Proportional to 12,408.56, 17,116.62 and 8,160.38

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Solution

The fourth proportional to 12,408.56, 17,116.62 and 8,160.38 is: 11,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.56 : 17,116.62 = 8,160.38 : x
  2. Step 2: Convert to fraction form
    12,408.56/17,116.62 = 8,160.38/x
  3. Step 3: Cross multiply
    12,408.56x = 17,116.62 × 8,160.38
  4. Step 4: Simplify right side
    12,408.56x = 139,678,123.52
  5. Step 5: Solve for x
    x = 139,678,123.52/12,408.56
  6. Step 6: Final answer
    x = 11,256.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.