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Finding the Fourth Proportional to 7,780.24, 11,673.24 and 3,622.48

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Solution

The fourth proportional to 7,780.24, 11,673.24 and 3,622.48 is: 5,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.24 : 11,673.24 = 3,622.48 : x
  2. Step 2: Convert to fraction form
    7,780.24/11,673.24 = 3,622.48/x
  3. Step 3: Cross multiply
    7,780.24x = 11,673.24 × 3,622.48
  4. Step 4: Simplify right side
    7,780.24x = 42,286,078.44
  5. Step 5: Solve for x
    x = 42,286,078.44/7,780.24
  6. Step 6: Final answer
    x = 5,435.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.