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Finding the Fourth Proportional to 12,128.64, 18,197.40 and 5,110.41

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Solution

The fourth proportional to 12,128.64, 18,197.40 and 5,110.41 is: 7,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.64 : 18,197.40 = 5,110.41 : x
  2. Step 2: Convert to fraction form
    12,128.64/18,197.40 = 5,110.41/x
  3. Step 3: Cross multiply
    12,128.64x = 18,197.40 × 5,110.41
  4. Step 4: Simplify right side
    12,128.64x = 92,996,174.93
  5. Step 5: Solve for x
    x = 92,996,174.93/12,128.64
  6. Step 6: Final answer
    x = 7,667.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.