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Finding the Fourth Proportional to 11,274.32, 16,892.88 and 3,874.76

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Solution

The fourth proportional to 11,274.32, 16,892.88 and 3,874.76 is: 5,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.32 : 16,892.88 = 3,874.76 : x
  2. Step 2: Convert to fraction form
    11,274.32/16,892.88 = 3,874.76/x
  3. Step 3: Cross multiply
    11,274.32x = 16,892.88 × 3,874.76
  4. Step 4: Simplify right side
    11,274.32x = 65,455,855.71
  5. Step 5: Solve for x
    x = 65,455,855.71/11,274.32
  6. Step 6: Final answer
    x = 5,805.75

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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.