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Finding the Fourth Proportional to 10,425.75, 15,644.24 and 7,576.54

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Solution

The fourth proportional to 10,425.75, 15,644.24 and 7,576.54 is: 11,368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.75 : 15,644.24 = 7,576.54 : x
  2. Step 2: Convert to fraction form
    10,425.75/15,644.24 = 7,576.54/x
  3. Step 3: Cross multiply
    10,425.75x = 15,644.24 × 7,576.54
  4. Step 4: Simplify right side
    10,425.75x = 118,529,161.55
  5. Step 5: Solve for x
    x = 118,529,161.55/10,425.75
  6. Step 6: Final answer
    x = 11,368.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.