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Finding the Fourth Proportional to 7,792.28, 11,674.36 and 4,278.48

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Solution

The fourth proportional to 7,792.28, 11,674.36 and 4,278.48 is: 6,410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.28 : 11,674.36 = 4,278.48 : x
  2. Step 2: Convert to fraction form
    7,792.28/11,674.36 = 4,278.48/x
  3. Step 3: Cross multiply
    7,792.28x = 11,674.36 × 4,278.48
  4. Step 4: Simplify right side
    7,792.28x = 49,948,515.77
  5. Step 5: Solve for x
    x = 49,948,515.77/7,792.28
  6. Step 6: Final answer
    x = 6,410.00

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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.