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Finding the Fourth Proportional to 8,031.36, 11,134.56 and 7,746.24

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Solution

The fourth proportional to 8,031.36, 11,134.56 and 7,746.24 is: 10,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.36 : 11,134.56 = 7,746.24 : x
  2. Step 2: Convert to fraction form
    8,031.36/11,134.56 = 7,746.24/x
  3. Step 3: Cross multiply
    8,031.36x = 11,134.56 × 7,746.24
  4. Step 4: Simplify right side
    8,031.36x = 86,250,974.05
  5. Step 5: Solve for x
    x = 86,250,974.05/8,031.36
  6. Step 6: Final answer
    x = 10,739.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.