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Finding the Fourth Proportional to 11,951.37, 17,925.98 and 3,186

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Solution

The fourth proportional to 11,951.37, 17,925.98 and 3,186 is: 4,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.37 : 17,925.98 = 3,186 : x
  2. Step 2: Convert to fraction form
    11,951.37/17,925.98 = 3,186/x
  3. Step 3: Cross multiply
    11,951.37x = 17,925.98 × 3,186
  4. Step 4: Simplify right side
    11,951.37x = 57,112,156.35
  5. Step 5: Solve for x
    x = 57,112,156.35/11,951.37
  6. Step 6: Final answer
    x = 4,778.71

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