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Finding the Fourth Proportional to 8,264.15, 11,400.71 and 4,905.05

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Solution

The fourth proportional to 8,264.15, 11,400.71 and 4,905.05 is: 6,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.15 : 11,400.71 = 4,905.05 : x
  2. Step 2: Convert to fraction form
    8,264.15/11,400.71 = 4,905.05/x
  3. Step 3: Cross multiply
    8,264.15x = 11,400.71 × 4,905.05
  4. Step 4: Simplify right side
    8,264.15x = 55,921,056.56
  5. Step 5: Solve for x
    x = 55,921,056.56/8,264.15
  6. Step 6: Final answer
    x = 6,766.71

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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.