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Finding the Fourth Proportional to 7,892.28, 11,838.72 and 2,627.76

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Solution

The fourth proportional to 7,892.28, 11,838.72 and 2,627.76 is: 3,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.28 : 11,838.72 = 2,627.76 : x
  2. Step 2: Convert to fraction form
    7,892.28/11,838.72 = 2,627.76/x
  3. Step 3: Cross multiply
    7,892.28x = 11,838.72 × 2,627.76
  4. Step 4: Simplify right side
    7,892.28x = 31,109,314.87
  5. Step 5: Solve for x
    x = 31,109,314.87/7,892.28
  6. Step 6: Final answer
    x = 3,941.74

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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.