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Finding the Fourth Proportional to 10,770.25, 14,863.02 and 5,990.26

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Solution

The fourth proportional to 10,770.25, 14,863.02 and 5,990.26 is: 8,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.25 : 14,863.02 = 5,990.26 : x
  2. Step 2: Convert to fraction form
    10,770.25/14,863.02 = 5,990.26/x
  3. Step 3: Cross multiply
    10,770.25x = 14,863.02 × 5,990.26
  4. Step 4: Simplify right side
    10,770.25x = 89,033,279.87
  5. Step 5: Solve for x
    x = 89,033,279.87/10,770.25
  6. Step 6: Final answer
    x = 8,266.60

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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.