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Finding the Fourth Proportional to 7,762.64, 11,640.31 and 2,828.82

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Solution

The fourth proportional to 7,762.64, 11,640.31 and 2,828.82 is: 4,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.64 : 11,640.31 = 2,828.82 : x
  2. Step 2: Convert to fraction form
    7,762.64/11,640.31 = 2,828.82/x
  3. Step 3: Cross multiply
    7,762.64x = 11,640.31 × 2,828.82
  4. Step 4: Simplify right side
    7,762.64x = 32,928,378.31
  5. Step 5: Solve for x
    x = 32,928,378.31/7,762.64
  6. Step 6: Final answer
    x = 4,241.91

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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.