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Finding the Fourth Proportional to 6,830.68, 10,254.66 and 5,811.16

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Solution

The fourth proportional to 6,830.68, 10,254.66 and 5,811.16 is: 8,724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830.68 : 10,254.66 = 5,811.16 : x
  2. Step 2: Convert to fraction form
    6,830.68/10,254.66 = 5,811.16/x
  3. Step 3: Cross multiply
    6,830.68x = 10,254.66 × 5,811.16
  4. Step 4: Simplify right side
    6,830.68x = 59,591,470.01
  5. Step 5: Solve for x
    x = 59,591,470.01/6,830.68
  6. Step 6: Final answer
    x = 8,724.09

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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.