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Finding the Fourth Proportional to 7,762.32, 11,644.38 and 2,834.28

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Solution

The fourth proportional to 7,762.32, 11,644.38 and 2,834.28 is: 4,251.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.32 : 11,644.38 = 2,834.28 : x
  2. Step 2: Convert to fraction form
    7,762.32/11,644.38 = 2,834.28/x
  3. Step 3: Cross multiply
    7,762.32x = 11,644.38 × 2,834.28
  4. Step 4: Simplify right side
    7,762.32x = 33,003,433.35
  5. Step 5: Solve for x
    x = 33,003,433.35/7,762.32
  6. Step 6: Final answer
    x = 4,251.75

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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.