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Finding the Fourth Proportional to 10,872.96, 16,308.91 and 6,372.51

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Solution

The fourth proportional to 10,872.96, 16,308.91 and 6,372.51 is: 9,558.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.96 : 16,308.91 = 6,372.51 : x
  2. Step 2: Convert to fraction form
    10,872.96/16,308.91 = 6,372.51/x
  3. Step 3: Cross multiply
    10,872.96x = 16,308.91 × 6,372.51
  4. Step 4: Simplify right side
    10,872.96x = 103,928,692.06
  5. Step 5: Solve for x
    x = 103,928,692.06/10,872.96
  6. Step 6: Final answer
    x = 9,558.45

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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.