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Finding the Fourth Proportional to 10,380.78, 14,326.02 and 6,841.44

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Solution

The fourth proportional to 10,380.78, 14,326.02 and 6,841.44 is: 9,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.78 : 14,326.02 = 6,841.44 : x
  2. Step 2: Convert to fraction form
    10,380.78/14,326.02 = 6,841.44/x
  3. Step 3: Cross multiply
    10,380.78x = 14,326.02 × 6,841.44
  4. Step 4: Simplify right side
    10,380.78x = 98,010,606.27
  5. Step 5: Solve for x
    x = 98,010,606.27/10,380.78
  6. Step 6: Final answer
    x = 9,441.55

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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.