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Finding the Fourth Proportional to 7,644.17, 10,548.82 and 4,286.98

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Solution

The fourth proportional to 7,644.17, 10,548.82 and 4,286.98 is: 5,915.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.17 : 10,548.82 = 4,286.98 : x
  2. Step 2: Convert to fraction form
    7,644.17/10,548.82 = 4,286.98/x
  3. Step 3: Cross multiply
    7,644.17x = 10,548.82 × 4,286.98
  4. Step 4: Simplify right side
    7,644.17x = 45,222,598.91
  5. Step 5: Solve for x
    x = 45,222,598.91/7,644.17
  6. Step 6: Final answer
    x = 5,915.96

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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.