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Finding the Fourth Proportional to 8,074.72, 11,142.56 and 4,538.46

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Solution

The fourth proportional to 8,074.72, 11,142.56 and 4,538.46 is: 6,262.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.72 : 11,142.56 = 4,538.46 : x
  2. Step 2: Convert to fraction form
    8,074.72/11,142.56 = 4,538.46/x
  3. Step 3: Cross multiply
    8,074.72x = 11,142.56 × 4,538.46
  4. Step 4: Simplify right side
    8,074.72x = 50,570,062.86
  5. Step 5: Solve for x
    x = 50,570,062.86/8,074.72
  6. Step 6: Final answer
    x = 6,262.76

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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.