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Finding the Fourth Proportional to 8,630.50, 11,905.23 and 5,645.65

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Solution

The fourth proportional to 8,630.50, 11,905.23 and 5,645.65 is: 7,787.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,630.50 : 11,905.23 = 5,645.65 : x
  2. Step 2: Convert to fraction form
    8,630.50/11,905.23 = 5,645.65/x
  3. Step 3: Cross multiply
    8,630.50x = 11,905.23 × 5,645.65
  4. Step 4: Simplify right side
    8,630.50x = 67,212,761.75
  5. Step 5: Solve for x
    x = 67,212,761.75/8,630.50
  6. Step 6: Final answer
    x = 7,787.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.