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Finding the Fourth Proportional to 11,716.86, 17,575.30 and 2,951.70

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Solution

The fourth proportional to 11,716.86, 17,575.30 and 2,951.70 is: 4,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.86 : 17,575.30 = 2,951.70 : x
  2. Step 2: Convert to fraction form
    11,716.86/17,575.30 = 2,951.70/x
  3. Step 3: Cross multiply
    11,716.86x = 17,575.30 × 2,951.70
  4. Step 4: Simplify right side
    11,716.86x = 51,877,013.01
  5. Step 5: Solve for x
    x = 51,877,013.01/11,716.86
  6. Step 6: Final answer
    x = 4,427.55

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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.