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Finding the Fourth Proportional to 8,239.92, 11,365.38 and 5,094.24

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Solution

The fourth proportional to 8,239.92, 11,365.38 and 5,094.24 is: 7,026.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.92 : 11,365.38 = 5,094.24 : x
  2. Step 2: Convert to fraction form
    8,239.92/11,365.38 = 5,094.24/x
  3. Step 3: Cross multiply
    8,239.92x = 11,365.38 × 5,094.24
  4. Step 4: Simplify right side
    8,239.92x = 57,897,973.41
  5. Step 5: Solve for x
    x = 57,897,973.41/8,239.92
  6. Step 6: Final answer
    x = 7,026.52

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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.