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Finding the Fourth Proportional to 8,004.66, 11,042.50 and 5,174.46

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Solution

The fourth proportional to 8,004.66, 11,042.50 and 5,174.46 is: 7,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.66 : 11,042.50 = 5,174.46 : x
  2. Step 2: Convert to fraction form
    8,004.66/11,042.50 = 5,174.46/x
  3. Step 3: Cross multiply
    8,004.66x = 11,042.50 × 5,174.46
  4. Step 4: Simplify right side
    8,004.66x = 57,138,974.55
  5. Step 5: Solve for x
    x = 57,138,974.55/8,004.66
  6. Step 6: Final answer
    x = 7,138.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.