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Finding the Fourth Proportional to 7,788.30, 11,682.45 and 3,171.30

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Solution

The fourth proportional to 7,788.30, 11,682.45 and 3,171.30 is: 4,756.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.30 : 11,682.45 = 3,171.30 : x
  2. Step 2: Convert to fraction form
    7,788.30/11,682.45 = 3,171.30/x
  3. Step 3: Cross multiply
    7,788.30x = 11,682.45 × 3,171.30
  4. Step 4: Simplify right side
    7,788.30x = 37,048,553.69
  5. Step 5: Solve for x
    x = 37,048,553.69/7,788.30
  6. Step 6: Final answer
    x = 4,756.95

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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.