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Finding the Fourth Proportional to 10,832.43, 14,950.76 and 6,850.83

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Solution

The fourth proportional to 10,832.43, 14,950.76 and 6,850.83 is: 9,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.43 : 14,950.76 = 6,850.83 : x
  2. Step 2: Convert to fraction form
    10,832.43/14,950.76 = 6,850.83/x
  3. Step 3: Cross multiply
    10,832.43x = 14,950.76 × 6,850.83
  4. Step 4: Simplify right side
    10,832.43x = 102,425,080.88
  5. Step 5: Solve for x
    x = 102,425,080.88/10,832.43
  6. Step 6: Final answer
    x = 9,455.41

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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.