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Finding the Fourth Proportional to 10,450.49, 15,657.44 and 8,706.69

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Solution

The fourth proportional to 10,450.49, 15,657.44 and 8,706.69 is: 13,044.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.49 : 15,657.44 = 8,706.69 : x
  2. Step 2: Convert to fraction form
    10,450.49/15,657.44 = 8,706.69/x
  3. Step 3: Cross multiply
    10,450.49x = 15,657.44 × 8,706.69
  4. Step 4: Simplify right side
    10,450.49x = 136,324,432.74
  5. Step 5: Solve for x
    x = 136,324,432.74/10,450.49
  6. Step 6: Final answer
    x = 13,044.79

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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.