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Finding the Fourth Proportional to 7,644.11, 10,548.14 and 4,286.16

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Solution

The fourth proportional to 7,644.11, 10,548.14 and 4,286.16 is: 5,914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.11 : 10,548.14 = 4,286.16 : x
  2. Step 2: Convert to fraction form
    7,644.11/10,548.14 = 4,286.16/x
  3. Step 3: Cross multiply
    7,644.11x = 10,548.14 × 4,286.16
  4. Step 4: Simplify right side
    7,644.11x = 45,211,026.46
  5. Step 5: Solve for x
    x = 45,211,026.46/7,644.11
  6. Step 6: Final answer
    x = 5,914.49

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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.