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Finding the Fourth Proportional to 7,827.60, 11,737.56 and 3,874.29

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Solution

The fourth proportional to 7,827.60, 11,737.56 and 3,874.29 is: 5,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.60 : 11,737.56 = 3,874.29 : x
  2. Step 2: Convert to fraction form
    7,827.60/11,737.56 = 3,874.29/x
  3. Step 3: Cross multiply
    7,827.60x = 11,737.56 × 3,874.29
  4. Step 4: Simplify right side
    7,827.60x = 45,474,711.33
  5. Step 5: Solve for x
    x = 45,474,711.33/7,827.60
  6. Step 6: Final answer
    x = 5,809.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.