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Finding the Fourth Proportional to 7,857.30, 11,782.89 and 3,176.43

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Solution

The fourth proportional to 7,857.30, 11,782.89 and 3,176.43 is: 4,763.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.30 : 11,782.89 = 3,176.43 : x
  2. Step 2: Convert to fraction form
    7,857.30/11,782.89 = 3,176.43/x
  3. Step 3: Cross multiply
    7,857.30x = 11,782.89 × 3,176.43
  4. Step 4: Simplify right side
    7,857.30x = 37,427,525.28
  5. Step 5: Solve for x
    x = 37,427,525.28/7,857.30
  6. Step 6: Final answer
    x = 4,763.41

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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.