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Finding the Fourth Proportional to 6,814.17, 10,218.06 and 4,004.31

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Solution

The fourth proportional to 6,814.17, 10,218.06 and 4,004.31 is: 6,004.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.17 : 10,218.06 = 4,004.31 : x
  2. Step 2: Convert to fraction form
    6,814.17/10,218.06 = 4,004.31/x
  3. Step 3: Cross multiply
    6,814.17x = 10,218.06 × 4,004.31
  4. Step 4: Simplify right side
    6,814.17x = 40,916,279.84
  5. Step 5: Solve for x
    x = 40,916,279.84/6,814.17
  6. Step 6: Final answer
    x = 6,004.59

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