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Finding the Fourth Proportional to 8,495.90, 11,724.42 and 4,958.44

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Solution

The fourth proportional to 8,495.90, 11,724.42 and 4,958.44 is: 6,842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.90 : 11,724.42 = 4,958.44 : x
  2. Step 2: Convert to fraction form
    8,495.90/11,724.42 = 4,958.44/x
  3. Step 3: Cross multiply
    8,495.90x = 11,724.42 × 4,958.44
  4. Step 4: Simplify right side
    8,495.90x = 58,134,774.48
  5. Step 5: Solve for x
    x = 58,134,774.48/8,495.90
  6. Step 6: Final answer
    x = 6,842.69

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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.