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Finding the Fourth Proportional to 10,754.37, 16,145.37 and 8,290.89

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Solution

The fourth proportional to 10,754.37, 16,145.37 and 8,290.89 is: 12,446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.37 : 16,145.37 = 8,290.89 : x
  2. Step 2: Convert to fraction form
    10,754.37/16,145.37 = 8,290.89/x
  3. Step 3: Cross multiply
    10,754.37x = 16,145.37 × 8,290.89
  4. Step 4: Simplify right side
    10,754.37x = 133,859,486.68
  5. Step 5: Solve for x
    x = 133,859,486.68/10,754.37
  6. Step 6: Final answer
    x = 12,446.99

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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.