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Finding the Fourth Proportional to 8,298.90, 11,456.37 and 5,942.34

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Solution

The fourth proportional to 8,298.90, 11,456.37 and 5,942.34 is: 8,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.90 : 11,456.37 = 5,942.34 : x
  2. Step 2: Convert to fraction form
    8,298.90/11,456.37 = 5,942.34/x
  3. Step 3: Cross multiply
    8,298.90x = 11,456.37 × 5,942.34
  4. Step 4: Simplify right side
    8,298.90x = 68,077,645.71
  5. Step 5: Solve for x
    x = 68,077,645.71/8,298.90
  6. Step 6: Final answer
    x = 8,203.21

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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.