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Finding the Fourth Proportional to 10,706.38, 14,775.12 and 5,990.82

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Solution

The fourth proportional to 10,706.38, 14,775.12 and 5,990.82 is: 8,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.38 : 14,775.12 = 5,990.82 : x
  2. Step 2: Convert to fraction form
    10,706.38/14,775.12 = 5,990.82/x
  3. Step 3: Cross multiply
    10,706.38x = 14,775.12 × 5,990.82
  4. Step 4: Simplify right side
    10,706.38x = 88,515,084.40
  5. Step 5: Solve for x
    x = 88,515,084.40/10,706.38
  6. Step 6: Final answer
    x = 8,267.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.