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Finding the Fourth Proportional to 7,757.64, 11,636.52 and 2,827.44

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Solution

The fourth proportional to 7,757.64, 11,636.52 and 2,827.44 is: 4,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.64 : 11,636.52 = 2,827.44 : x
  2. Step 2: Convert to fraction form
    7,757.64/11,636.52 = 2,827.44/x
  3. Step 3: Cross multiply
    7,757.64x = 11,636.52 × 2,827.44
  4. Step 4: Simplify right side
    7,757.64x = 32,901,562.11
  5. Step 5: Solve for x
    x = 32,901,562.11/7,757.64
  6. Step 6: Final answer
    x = 4,241.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.