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Finding the Fourth Proportional to 8,166.84, 11,269.83 and 4,629.96

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Solution

The fourth proportional to 8,166.84, 11,269.83 and 4,629.96 is: 6,389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.84 : 11,269.83 = 4,629.96 : x
  2. Step 2: Convert to fraction form
    8,166.84/11,269.83 = 4,629.96/x
  3. Step 3: Cross multiply
    8,166.84x = 11,269.83 × 4,629.96
  4. Step 4: Simplify right side
    8,166.84x = 52,178,862.11
  5. Step 5: Solve for x
    x = 52,178,862.11/8,166.84
  6. Step 6: Final answer
    x = 6,389.11

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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.