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Finding the Fourth Proportional to 8,027.76, 11,077.74 and 4,671.12

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Solution

The fourth proportional to 8,027.76, 11,077.74 and 4,671.12 is: 6,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027.76 : 11,077.74 = 4,671.12 : x
  2. Step 2: Convert to fraction form
    8,027.76/11,077.74 = 4,671.12/x
  3. Step 3: Cross multiply
    8,027.76x = 11,077.74 × 4,671.12
  4. Step 4: Simplify right side
    8,027.76x = 51,745,452.87
  5. Step 5: Solve for x
    x = 51,745,452.87/8,027.76
  6. Step 6: Final answer
    x = 6,445.81

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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.