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Finding the Fourth Proportional to 7,644.09, 10,548.10 and 4,286.13

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Solution

The fourth proportional to 7,644.09, 10,548.10 and 4,286.13 is: 5,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.09 : 10,548.10 = 4,286.13 : x
  2. Step 2: Convert to fraction form
    7,644.09/10,548.10 = 4,286.13/x
  3. Step 3: Cross multiply
    7,644.09x = 10,548.10 × 4,286.13
  4. Step 4: Simplify right side
    7,644.09x = 45,210,527.85
  5. Step 5: Solve for x
    x = 45,210,527.85/7,644.09
  6. Step 6: Final answer
    x = 5,914.44

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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.