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Finding the Fourth Proportional to 7,771.36, 11,659.96 and 4,653.58

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Solution

The fourth proportional to 7,771.36, 11,659.96 and 4,653.58 is: 6,982.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.36 : 11,659.96 = 4,653.58 : x
  2. Step 2: Convert to fraction form
    7,771.36/11,659.96 = 4,653.58/x
  3. Step 3: Cross multiply
    7,771.36x = 11,659.96 × 4,653.58
  4. Step 4: Simplify right side
    7,771.36x = 54,260,556.66
  5. Step 5: Solve for x
    x = 54,260,556.66/7,771.36
  6. Step 6: Final answer
    x = 6,982.12

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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.