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Finding the Fourth Proportional to 10,485.84, 14,471.15 and 5,770.43

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Solution

The fourth proportional to 10,485.84, 14,471.15 and 5,770.43 is: 7,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.84 : 14,471.15 = 5,770.43 : x
  2. Step 2: Convert to fraction form
    10,485.84/14,471.15 = 5,770.43/x
  3. Step 3: Cross multiply
    10,485.84x = 14,471.15 × 5,770.43
  4. Step 4: Simplify right side
    10,485.84x = 83,504,758.09
  5. Step 5: Solve for x
    x = 83,504,758.09/10,485.84
  6. Step 6: Final answer
    x = 7,963.57

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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.