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Finding the Fourth Proportional to 8,282.56, 11,430.24 and 4,556.48

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Solution

The fourth proportional to 8,282.56, 11,430.24 and 4,556.48 is: 6,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.56 : 11,430.24 = 4,556.48 : x
  2. Step 2: Convert to fraction form
    8,282.56/11,430.24 = 4,556.48/x
  3. Step 3: Cross multiply
    8,282.56x = 11,430.24 × 4,556.48
  4. Step 4: Simplify right side
    8,282.56x = 52,081,659.96
  5. Step 5: Solve for x
    x = 52,081,659.96/8,282.56
  6. Step 6: Final answer
    x = 6,288.11

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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.