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Finding the Fourth Proportional to 8,548.08, 11,796.68 and 4,822

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Solution

The fourth proportional to 8,548.08, 11,796.68 and 4,822 is: 6,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.08 : 11,796.68 = 4,822 : x
  2. Step 2: Convert to fraction form
    8,548.08/11,796.68 = 4,822/x
  3. Step 3: Cross multiply
    8,548.08x = 11,796.68 × 4,822
  4. Step 4: Simplify right side
    8,548.08x = 56,883,590.96
  5. Step 5: Solve for x
    x = 56,883,590.96/8,548.08
  6. Step 6: Final answer
    x = 6,654.55

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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.