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Finding the Fourth Proportional to 6,314.76, 8,716.41 and 4,080.78

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Solution

The fourth proportional to 6,314.76, 8,716.41 and 4,080.78 is: 5,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.76 : 8,716.41 = 4,080.78 : x
  2. Step 2: Convert to fraction form
    6,314.76/8,716.41 = 4,080.78/x
  3. Step 3: Cross multiply
    6,314.76x = 8,716.41 × 4,080.78
  4. Step 4: Simplify right side
    6,314.76x = 35,569,751.60
  5. Step 5: Solve for x
    x = 35,569,751.60/6,314.76
  6. Step 6: Final answer
    x = 5,632.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.