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Finding the Fourth Proportional to 10,467, 15,675.89 and 8,260.96

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Solution

The fourth proportional to 10,467, 15,675.89 and 8,260.96 is: 12,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467 : 15,675.89 = 8,260.96 : x
  2. Step 2: Convert to fraction form
    10,467/15,675.89 = 8,260.96/x
  3. Step 3: Cross multiply
    10,467x = 15,675.89 × 8,260.96
  4. Step 4: Simplify right side
    10,467x = 129,497,900.25
  5. Step 5: Solve for x
    x = 129,497,900.25/10,467
  6. Step 6: Final answer
    x = 12,372.02

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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.