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Finding the Fourth Proportional to 11,930.94, 17,897.27 and 3,165.75

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Solution

The fourth proportional to 11,930.94, 17,897.27 and 3,165.75 is: 4,748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.94 : 17,897.27 = 3,165.75 : x
  2. Step 2: Convert to fraction form
    11,930.94/17,897.27 = 3,165.75/x
  3. Step 3: Cross multiply
    11,930.94x = 17,897.27 × 3,165.75
  4. Step 4: Simplify right side
    11,930.94x = 56,658,266.67
  5. Step 5: Solve for x
    x = 56,658,266.67/11,930.94
  6. Step 6: Final answer
    x = 4,748.85

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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.