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Finding the Fourth Proportional to 8,654.99, 11,945.43 and 8,260.57

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Solution

The fourth proportional to 8,654.99, 11,945.43 and 8,260.57 is: 11,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.99 : 11,945.43 = 8,260.57 : x
  2. Step 2: Convert to fraction form
    8,654.99/11,945.43 = 8,260.57/x
  3. Step 3: Cross multiply
    8,654.99x = 11,945.43 × 8,260.57
  4. Step 4: Simplify right side
    8,654.99x = 98,676,000.97
  5. Step 5: Solve for x
    x = 98,676,000.97/8,654.99
  6. Step 6: Final answer
    x = 11,401.06

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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.