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Finding the Fourth Proportional to 7,324.35, 10,984.02 and 2,392.77

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Solution

The fourth proportional to 7,324.35, 10,984.02 and 2,392.77 is: 3,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,324.35 : 10,984.02 = 2,392.77 : x
  2. Step 2: Convert to fraction form
    7,324.35/10,984.02 = 2,392.77/x
  3. Step 3: Cross multiply
    7,324.35x = 10,984.02 × 2,392.77
  4. Step 4: Simplify right side
    7,324.35x = 26,282,233.54
  5. Step 5: Solve for x
    x = 26,282,233.54/7,324.35
  6. Step 6: Final answer
    x = 3,588.34

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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.