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Finding the Fourth Proportional to 7,792.58, 11,693.12 and 3,634.53

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Solution

The fourth proportional to 7,792.58, 11,693.12 and 3,634.53 is: 5,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.58 : 11,693.12 = 3,634.53 : x
  2. Step 2: Convert to fraction form
    7,792.58/11,693.12 = 3,634.53/x
  3. Step 3: Cross multiply
    7,792.58x = 11,693.12 × 3,634.53
  4. Step 4: Simplify right side
    7,792.58x = 42,498,977.26
  5. Step 5: Solve for x
    x = 42,498,977.26/7,792.58
  6. Step 6: Final answer
    x = 5,453.78

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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.