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Finding the Fourth Proportional to 10,486.56, 14,471.46 and 5,770.74

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Solution

The fourth proportional to 10,486.56, 14,471.46 and 5,770.74 is: 7,963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.56 : 14,471.46 = 5,770.74 : x
  2. Step 2: Convert to fraction form
    10,486.56/14,471.46 = 5,770.74/x
  3. Step 3: Cross multiply
    10,486.56x = 14,471.46 × 5,770.74
  4. Step 4: Simplify right side
    10,486.56x = 83,511,033.08
  5. Step 5: Solve for x
    x = 83,511,033.08/10,486.56
  6. Step 6: Final answer
    x = 7,963.63

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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.