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Finding the Fourth Proportional to 10,706.16, 14,774.32 and 5,990.44

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Solution

The fourth proportional to 10,706.16, 14,774.32 and 5,990.44 is: 8,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.16 : 14,774.32 = 5,990.44 : x
  2. Step 2: Convert to fraction form
    10,706.16/14,774.32 = 5,990.44/x
  3. Step 3: Cross multiply
    10,706.16x = 14,774.32 × 5,990.44
  4. Step 4: Simplify right side
    10,706.16x = 88,504,677.50
  5. Step 5: Solve for x
    x = 88,504,677.50/10,706.16
  6. Step 6: Final answer
    x = 8,266.71

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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.