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Finding the Fourth Proportional to 8,261.43, 12,399.74 and 7,095.03

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Solution

The fourth proportional to 8,261.43, 12,399.74 and 7,095.03 is: 10,649.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,261.43 : 12,399.74 = 7,095.03 : x
  2. Step 2: Convert to fraction form
    8,261.43/12,399.74 = 7,095.03/x
  3. Step 3: Cross multiply
    8,261.43x = 12,399.74 × 7,095.03
  4. Step 4: Simplify right side
    8,261.43x = 87,976,491.82
  5. Step 5: Solve for x
    x = 87,976,491.82/8,261.43
  6. Step 6: Final answer
    x = 10,649.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.