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Finding the Fourth Proportional to 10,706.29, 16,061.79 and 3,209.55

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Solution

The fourth proportional to 10,706.29, 16,061.79 and 3,209.55 is: 4,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.29 : 16,061.79 = 3,209.55 : x
  2. Step 2: Convert to fraction form
    10,706.29/16,061.79 = 3,209.55/x
  3. Step 3: Cross multiply
    10,706.29x = 16,061.79 × 3,209.55
  4. Step 4: Simplify right side
    10,706.29x = 51,551,115.07
  5. Step 5: Solve for x
    x = 51,551,115.07/10,706.29
  6. Step 6: Final answer
    x = 4,815.03

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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.