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Finding the Fourth Proportional to 7,576.56, 11,343.96 and 5,721.96

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Solution

The fourth proportional to 7,576.56, 11,343.96 and 5,721.96 is: 8,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.56 : 11,343.96 = 5,721.96 : x
  2. Step 2: Convert to fraction form
    7,576.56/11,343.96 = 5,721.96/x
  3. Step 3: Cross multiply
    7,576.56x = 11,343.96 × 5,721.96
  4. Step 4: Simplify right side
    7,576.56x = 64,909,685.36
  5. Step 5: Solve for x
    x = 64,909,685.36/7,576.56
  6. Step 6: Final answer
    x = 8,567.17

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Why These Related Problems?

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