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Finding the Fourth Proportional to 7,785.52, 11,682.90 and 3,107.80

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Solution

The fourth proportional to 7,785.52, 11,682.90 and 3,107.80 is: 4,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.52 : 11,682.90 = 3,107.80 : x
  2. Step 2: Convert to fraction form
    7,785.52/11,682.90 = 3,107.80/x
  3. Step 3: Cross multiply
    7,785.52x = 11,682.90 × 3,107.80
  4. Step 4: Simplify right side
    7,785.52x = 36,308,116.62
  5. Step 5: Solve for x
    x = 36,308,116.62/7,785.52
  6. Step 6: Final answer
    x = 4,663.54

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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.