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Finding the Fourth Proportional to 7,765.92, 11,651.04 and 3,383.76

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Solution

The fourth proportional to 7,765.92, 11,651.04 and 3,383.76 is: 5,076.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.92 : 11,651.04 = 3,383.76 : x
  2. Step 2: Convert to fraction form
    7,765.92/11,651.04 = 3,383.76/x
  3. Step 3: Cross multiply
    7,765.92x = 11,651.04 × 3,383.76
  4. Step 4: Simplify right side
    7,765.92x = 39,424,323.11
  5. Step 5: Solve for x
    x = 39,424,323.11/7,765.92
  6. Step 6: Final answer
    x = 5,076.58

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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.