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Finding the Fourth Proportional to 6,555.20, 9,811.20 and 5,086.40

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Solution

The fourth proportional to 6,555.20, 9,811.20 and 5,086.40 is: 7,612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.20 : 9,811.20 = 5,086.40 : x
  2. Step 2: Convert to fraction form
    6,555.20/9,811.20 = 5,086.40/x
  3. Step 3: Cross multiply
    6,555.20x = 9,811.20 × 5,086.40
  4. Step 4: Simplify right side
    6,555.20x = 49,903,687.68
  5. Step 5: Solve for x
    x = 49,903,687.68/6,555.20
  6. Step 6: Final answer
    x = 7,612.84

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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.