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Finding the Fourth Proportional to 8,195.76, 12,281.19 and 6,005.94

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Solution

The fourth proportional to 8,195.76, 12,281.19 and 6,005.94 is: 8,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.76 : 12,281.19 = 6,005.94 : x
  2. Step 2: Convert to fraction form
    8,195.76/12,281.19 = 6,005.94/x
  3. Step 3: Cross multiply
    8,195.76x = 12,281.19 × 6,005.94
  4. Step 4: Simplify right side
    8,195.76x = 73,760,090.27
  5. Step 5: Solve for x
    x = 73,760,090.27/8,195.76
  6. Step 6: Final answer
    x = 8,999.79

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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.