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Finding the Fourth Proportional to 10,770.35, 14,862.11 and 5,990.09

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Solution

The fourth proportional to 10,770.35, 14,862.11 and 5,990.09 is: 8,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.35 : 14,862.11 = 5,990.09 : x
  2. Step 2: Convert to fraction form
    10,770.35/14,862.11 = 5,990.09/x
  3. Step 3: Cross multiply
    10,770.35x = 14,862.11 × 5,990.09
  4. Step 4: Simplify right side
    10,770.35x = 89,025,272.23
  5. Step 5: Solve for x
    x = 89,025,272.23/10,770.35
  6. Step 6: Final answer
    x = 8,265.78

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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.