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Finding the Fourth Proportional to 8,382.42, 11,568.15 and 4,845.96

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Solution

The fourth proportional to 8,382.42, 11,568.15 and 4,845.96 is: 6,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.42 : 11,568.15 = 4,845.96 : x
  2. Step 2: Convert to fraction form
    8,382.42/11,568.15 = 4,845.96/x
  3. Step 3: Cross multiply
    8,382.42x = 11,568.15 × 4,845.96
  4. Step 4: Simplify right side
    8,382.42x = 56,058,792.17
  5. Step 5: Solve for x
    x = 56,058,792.17/8,382.42
  6. Step 6: Final answer
    x = 6,687.66

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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.