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Finding the Fourth Proportional to 8,654.38, 11,943.93 and 5,299.41

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Solution

The fourth proportional to 8,654.38, 11,943.93 and 5,299.41 is: 7,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.38 : 11,943.93 = 5,299.41 : x
  2. Step 2: Convert to fraction form
    8,654.38/11,943.93 = 5,299.41/x
  3. Step 3: Cross multiply
    8,654.38x = 11,943.93 × 5,299.41
  4. Step 4: Simplify right side
    8,654.38x = 63,295,782.08
  5. Step 5: Solve for x
    x = 63,295,782.08/8,654.38
  6. Step 6: Final answer
    x = 7,313.73

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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.