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Finding the Fourth Proportional to 7,257.62, 10,021.17 and 5,576.36

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Solution

The fourth proportional to 7,257.62, 10,021.17 and 5,576.36 is: 7,699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.62 : 10,021.17 = 5,576.36 : x
  2. Step 2: Convert to fraction form
    7,257.62/10,021.17 = 5,576.36/x
  3. Step 3: Cross multiply
    7,257.62x = 10,021.17 × 5,576.36
  4. Step 4: Simplify right side
    7,257.62x = 55,881,601.44
  5. Step 5: Solve for x
    x = 55,881,601.44/7,257.62
  6. Step 6: Final answer
    x = 7,699.72

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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.