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Finding the Fourth Proportional to 8,546.96, 11,794.73 and 4,770.06

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Solution

The fourth proportional to 8,546.96, 11,794.73 and 4,770.06 is: 6,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.96 : 11,794.73 = 4,770.06 : x
  2. Step 2: Convert to fraction form
    8,546.96/11,794.73 = 4,770.06/x
  3. Step 3: Cross multiply
    8,546.96x = 11,794.73 × 4,770.06
  4. Step 4: Simplify right side
    8,546.96x = 56,261,545.93
  5. Step 5: Solve for x
    x = 56,261,545.93/8,546.96
  6. Step 6: Final answer
    x = 6,582.64

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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.