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Finding the Fourth Proportional to 10,375.83, 14,317.56 and 6,398.73

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Solution

The fourth proportional to 10,375.83, 14,317.56 and 6,398.73 is: 8,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.83 : 14,317.56 = 6,398.73 : x
  2. Step 2: Convert to fraction form
    10,375.83/14,317.56 = 6,398.73/x
  3. Step 3: Cross multiply
    10,375.83x = 14,317.56 × 6,398.73
  4. Step 4: Simplify right side
    10,375.83x = 91,614,200.70
  5. Step 5: Solve for x
    x = 91,614,200.70/10,375.83
  6. Step 6: Final answer
    x = 8,829.58

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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.