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Finding the Fourth Proportional to 7,584.52, 10,462.64 and 5,222.56

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Solution

The fourth proportional to 7,584.52, 10,462.64 and 5,222.56 is: 7,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.52 : 10,462.64 = 5,222.56 : x
  2. Step 2: Convert to fraction form
    7,584.52/10,462.64 = 5,222.56/x
  3. Step 3: Cross multiply
    7,584.52x = 10,462.64 × 5,222.56
  4. Step 4: Simplify right side
    7,584.52x = 54,641,765.16
  5. Step 5: Solve for x
    x = 54,641,765.16/7,584.52
  6. Step 6: Final answer
    x = 7,204.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.