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Finding the Fourth Proportional to 7,778.47, 11,654.91 and 4,494.31

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Solution

The fourth proportional to 7,778.47, 11,654.91 and 4,494.31 is: 6,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.47 : 11,654.91 = 4,494.31 : x
  2. Step 2: Convert to fraction form
    7,778.47/11,654.91 = 4,494.31/x
  3. Step 3: Cross multiply
    7,778.47x = 11,654.91 × 4,494.31
  4. Step 4: Simplify right side
    7,778.47x = 52,380,778.56
  5. Step 5: Solve for x
    x = 52,380,778.56/7,778.47
  6. Step 6: Final answer
    x = 6,734.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.