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Finding the Fourth Proportional to 10,131.43, 13,980.71 and 6,354.44

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Solution

The fourth proportional to 10,131.43, 13,980.71 and 6,354.44 is: 8,768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.43 : 13,980.71 = 6,354.44 : x
  2. Step 2: Convert to fraction form
    10,131.43/13,980.71 = 6,354.44/x
  3. Step 3: Cross multiply
    10,131.43x = 13,980.71 × 6,354.44
  4. Step 4: Simplify right side
    10,131.43x = 88,839,582.85
  5. Step 5: Solve for x
    x = 88,839,582.85/10,131.43
  6. Step 6: Final answer
    x = 8,768.71

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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.