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Finding the Fourth Proportional to 10,450.84, 15,676.50 and 2,659.66

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Solution

The fourth proportional to 10,450.84, 15,676.50 and 2,659.66 is: 3,989.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.84 : 15,676.50 = 2,659.66 : x
  2. Step 2: Convert to fraction form
    10,450.84/15,676.50 = 2,659.66/x
  3. Step 3: Cross multiply
    10,450.84x = 15,676.50 × 2,659.66
  4. Step 4: Simplify right side
    10,450.84x = 41,694,159.99
  5. Step 5: Solve for x
    x = 41,694,159.99/10,450.84
  6. Step 6: Final answer
    x = 3,989.55

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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.