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Finding the Fourth Proportional to 10,832.70, 14,934.30 and 6,851.82

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Solution

The fourth proportional to 10,832.70, 14,934.30 and 6,851.82 is: 9,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.70 : 14,934.30 = 6,851.82 : x
  2. Step 2: Convert to fraction form
    10,832.70/14,934.30 = 6,851.82/x
  3. Step 3: Cross multiply
    10,832.70x = 14,934.30 × 6,851.82
  4. Step 4: Simplify right side
    10,832.70x = 102,327,135.43
  5. Step 5: Solve for x
    x = 102,327,135.43/10,832.70
  6. Step 6: Final answer
    x = 9,446.13

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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.