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Finding the Fourth Proportional to 8,166.79, 11,269.83 and 4,630.24

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Solution

The fourth proportional to 8,166.79, 11,269.83 and 4,630.24 is: 6,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.79 : 11,269.83 = 4,630.24 : x
  2. Step 2: Convert to fraction form
    8,166.79/11,269.83 = 4,630.24/x
  3. Step 3: Cross multiply
    8,166.79x = 11,269.83 × 4,630.24
  4. Step 4: Simplify right side
    8,166.79x = 52,182,017.66
  5. Step 5: Solve for x
    x = 52,182,017.66/8,166.79
  6. Step 6: Final answer
    x = 6,389.54

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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.