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Finding the Fourth Proportional to 8,140.56, 11,230.42 and 4,777.44

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Solution

The fourth proportional to 8,140.56, 11,230.42 and 4,777.44 is: 6,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.56 : 11,230.42 = 4,777.44 : x
  2. Step 2: Convert to fraction form
    8,140.56/11,230.42 = 4,777.44/x
  3. Step 3: Cross multiply
    8,140.56x = 11,230.42 × 4,777.44
  4. Step 4: Simplify right side
    8,140.56x = 53,652,657.72
  5. Step 5: Solve for x
    x = 53,652,657.72/8,140.56
  6. Step 6: Final answer
    x = 6,590.78

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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.