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Finding the Fourth Proportional to 10,706.97, 16,061.97 and 3,312.08

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Solution

The fourth proportional to 10,706.97, 16,061.97 and 3,312.08 is: 4,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.97 : 16,061.97 = 3,312.08 : x
  2. Step 2: Convert to fraction form
    10,706.97/16,061.97 = 3,312.08/x
  3. Step 3: Cross multiply
    10,706.97x = 16,061.97 × 3,312.08
  4. Step 4: Simplify right side
    10,706.97x = 53,198,529.60
  5. Step 5: Solve for x
    x = 53,198,529.60/10,706.97
  6. Step 6: Final answer
    x = 4,968.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.