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Finding the Fourth Proportional to 8,031.25, 11,992.21 and 7,086.32

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Solution

The fourth proportional to 8,031.25, 11,992.21 and 7,086.32 is: 10,581.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.25 : 11,992.21 = 7,086.32 : x
  2. Step 2: Convert to fraction form
    8,031.25/11,992.21 = 7,086.32/x
  3. Step 3: Cross multiply
    8,031.25x = 11,992.21 × 7,086.32
  4. Step 4: Simplify right side
    8,031.25x = 84,980,542.17
  5. Step 5: Solve for x
    x = 84,980,542.17/8,031.25
  6. Step 6: Final answer
    x = 10,581.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.