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Finding the Fourth Proportional to 11,294.46, 16,937.64 and 3,897

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Solution

The fourth proportional to 11,294.46, 16,937.64 and 3,897 is: 5,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.46 : 16,937.64 = 3,897 : x
  2. Step 2: Convert to fraction form
    11,294.46/16,937.64 = 3,897/x
  3. Step 3: Cross multiply
    11,294.46x = 16,937.64 × 3,897
  4. Step 4: Simplify right side
    11,294.46x = 66,005,983.08
  5. Step 5: Solve for x
    x = 66,005,983.08/11,294.46
  6. Step 6: Final answer
    x = 5,844.10

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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.