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Finding the Fourth Proportional to 12,608.82, 17,407.89 and 8,363.58

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Solution

The fourth proportional to 12,608.82, 17,407.89 and 8,363.58 is: 11,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,608.82 : 17,407.89 = 8,363.58 : x
  2. Step 2: Convert to fraction form
    12,608.82/17,407.89 = 8,363.58/x
  3. Step 3: Cross multiply
    12,608.82x = 17,407.89 × 8,363.58
  4. Step 4: Simplify right side
    12,608.82x = 145,592,280.65
  5. Step 5: Solve for x
    x = 145,592,280.65/12,608.82
  6. Step 6: Final answer
    x = 11,546.86

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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.