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Finding the Fourth Proportional to 6,325.72, 8,723 and 4,200.48

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Solution

The fourth proportional to 6,325.72, 8,723 and 4,200.48 is: 5,792.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.72 : 8,723 = 4,200.48 : x
  2. Step 2: Convert to fraction form
    6,325.72/8,723 = 4,200.48/x
  3. Step 3: Cross multiply
    6,325.72x = 8,723 × 4,200.48
  4. Step 4: Simplify right side
    6,325.72x = 36,640,787.04
  5. Step 5: Solve for x
    x = 36,640,787.04/6,325.72
  6. Step 6: Final answer
    x = 5,792.35

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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.