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Finding the Fourth Proportional to 7,857.64, 11,772.61 and 4,151.69

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Solution

The fourth proportional to 7,857.64, 11,772.61 and 4,151.69 is: 6,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.64 : 11,772.61 = 4,151.69 : x
  2. Step 2: Convert to fraction form
    7,857.64/11,772.61 = 4,151.69/x
  3. Step 3: Cross multiply
    7,857.64x = 11,772.61 × 4,151.69
  4. Step 4: Simplify right side
    7,857.64x = 48,876,202.12
  5. Step 5: Solve for x
    x = 48,876,202.12/7,857.64
  6. Step 6: Final answer
    x = 6,220.21

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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.