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Finding the Fourth Proportional to 6,164.31, 8,506.76 and 3,369.81

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Solution

The fourth proportional to 6,164.31, 8,506.76 and 3,369.81 is: 4,650.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.31 : 8,506.76 = 3,369.81 : x
  2. Step 2: Convert to fraction form
    6,164.31/8,506.76 = 3,369.81/x
  3. Step 3: Cross multiply
    6,164.31x = 8,506.76 × 3,369.81
  4. Step 4: Simplify right side
    6,164.31x = 28,666,164.92
  5. Step 5: Solve for x
    x = 28,666,164.92/6,164.31
  6. Step 6: Final answer
    x = 4,650.34

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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.