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Finding the Fourth Proportional to 11,490.12, 15,842.49 and 8,938.62

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Solution

The fourth proportional to 11,490.12, 15,842.49 and 8,938.62 is: 12,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.12 : 15,842.49 = 8,938.62 : x
  2. Step 2: Convert to fraction form
    11,490.12/15,842.49 = 8,938.62/x
  3. Step 3: Cross multiply
    11,490.12x = 15,842.49 × 8,938.62
  4. Step 4: Simplify right side
    11,490.12x = 141,609,997.96
  5. Step 5: Solve for x
    x = 141,609,997.96/11,490.12
  6. Step 6: Final answer
    x = 12,324.50

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Why These Related Problems?

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