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Finding the Fourth Proportional to 8,166.46, 11,269.85 and 4,629.60

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Solution

The fourth proportional to 8,166.46, 11,269.85 and 4,629.60 is: 6,388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.46 : 11,269.85 = 4,629.60 : x
  2. Step 2: Convert to fraction form
    8,166.46/11,269.85 = 4,629.60/x
  3. Step 3: Cross multiply
    8,166.46x = 11,269.85 × 4,629.60
  4. Step 4: Simplify right side
    8,166.46x = 52,174,897.56
  5. Step 5: Solve for x
    x = 52,174,897.56/8,166.46
  6. Step 6: Final answer
    x = 6,388.92

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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.