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Finding the Fourth Proportional to 7,727.59, 11,591.35 and 2,797.21

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Solution

The fourth proportional to 7,727.59, 11,591.35 and 2,797.21 is: 4,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.59 : 11,591.35 = 2,797.21 : x
  2. Step 2: Convert to fraction form
    7,727.59/11,591.35 = 2,797.21/x
  3. Step 3: Cross multiply
    7,727.59x = 11,591.35 × 2,797.21
  4. Step 4: Simplify right side
    7,727.59x = 32,423,440.13
  5. Step 5: Solve for x
    x = 32,423,440.13/7,727.59
  6. Step 6: Final answer
    x = 4,195.80

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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.