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Finding the Fourth Proportional to 7,322.27, 10,984.47 and 2,322.97

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Solution

The fourth proportional to 7,322.27, 10,984.47 and 2,322.97 is: 3,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.27 : 10,984.47 = 2,322.97 : x
  2. Step 2: Convert to fraction form
    7,322.27/10,984.47 = 2,322.97/x
  3. Step 3: Cross multiply
    7,322.27x = 10,984.47 × 2,322.97
  4. Step 4: Simplify right side
    7,322.27x = 25,516,594.28
  5. Step 5: Solve for x
    x = 25,516,594.28/7,322.27
  6. Step 6: Final answer
    x = 3,484.80

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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.