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Finding the Fourth Proportional to 8,449.38, 11,657.28 and 5,090.94

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Solution

The fourth proportional to 8,449.38, 11,657.28 and 5,090.94 is: 7,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.38 : 11,657.28 = 5,090.94 : x
  2. Step 2: Convert to fraction form
    8,449.38/11,657.28 = 5,090.94/x
  3. Step 3: Cross multiply
    8,449.38x = 11,657.28 × 5,090.94
  4. Step 4: Simplify right side
    8,449.38x = 59,346,513.04
  5. Step 5: Solve for x
    x = 59,346,513.04/8,449.38
  6. Step 6: Final answer
    x = 7,023.77

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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.