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Finding the Fourth Proportional to 8,650.86, 11,938.31 and 5,114.07

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Solution

The fourth proportional to 8,650.86, 11,938.31 and 5,114.07 is: 7,057.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650.86 : 11,938.31 = 5,114.07 : x
  2. Step 2: Convert to fraction form
    8,650.86/11,938.31 = 5,114.07/x
  3. Step 3: Cross multiply
    8,650.86x = 11,938.31 × 5,114.07
  4. Step 4: Simplify right side
    8,650.86x = 61,053,327.45
  5. Step 5: Solve for x
    x = 61,053,327.45/8,650.86
  6. Step 6: Final answer
    x = 7,057.49

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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.