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Finding the Fourth Proportional to 7,757.52, 11,631.04 and 2,826.56

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Solution

The fourth proportional to 7,757.52, 11,631.04 and 2,826.56 is: 4,237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.52 : 11,631.04 = 2,826.56 : x
  2. Step 2: Convert to fraction form
    7,757.52/11,631.04 = 2,826.56/x
  3. Step 3: Cross multiply
    7,757.52x = 11,631.04 × 2,826.56
  4. Step 4: Simplify right side
    7,757.52x = 32,875,832.42
  5. Step 5: Solve for x
    x = 32,875,832.42/7,757.52
  6. Step 6: Final answer
    x = 4,237.93

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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.