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Finding the Fourth Proportional to 10,917.96, 16,377.48 and 6,563.40

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Solution

The fourth proportional to 10,917.96, 16,377.48 and 6,563.40 is: 9,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.96 : 16,377.48 = 6,563.40 : x
  2. Step 2: Convert to fraction form
    10,917.96/16,377.48 = 6,563.40/x
  3. Step 3: Cross multiply
    10,917.96x = 16,377.48 × 6,563.40
  4. Step 4: Simplify right side
    10,917.96x = 107,491,952.23
  5. Step 5: Solve for x
    x = 107,491,952.23/10,917.96
  6. Step 6: Final answer
    x = 9,845.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.