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Finding the Fourth Proportional to 10,706.76, 14,775.74 and 5,990.94

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Solution

The fourth proportional to 10,706.76, 14,775.74 and 5,990.94 is: 8,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.76 : 14,775.74 = 5,990.94 : x
  2. Step 2: Convert to fraction form
    10,706.76/14,775.74 = 5,990.94/x
  3. Step 3: Cross multiply
    10,706.76x = 14,775.74 × 5,990.94
  4. Step 4: Simplify right side
    10,706.76x = 88,520,571.80
  5. Step 5: Solve for x
    x = 88,520,571.80/10,706.76
  6. Step 6: Final answer
    x = 8,267.73

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