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Finding the Fourth Proportional to 7,231.76, 9,975.21 and 5,550.38

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Solution

The fourth proportional to 7,231.76, 9,975.21 and 5,550.38 is: 7,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.76 : 9,975.21 = 5,550.38 : x
  2. Step 2: Convert to fraction form
    7,231.76/9,975.21 = 5,550.38/x
  3. Step 3: Cross multiply
    7,231.76x = 9,975.21 × 5,550.38
  4. Step 4: Simplify right side
    7,231.76x = 55,366,206.08
  5. Step 5: Solve for x
    x = 55,366,206.08/7,231.76
  6. Step 6: Final answer
    x = 7,655.98

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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.