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Finding the Fourth Proportional to 8,332.80, 11,500 and 6,233.28

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Solution

The fourth proportional to 8,332.80, 11,500 and 6,233.28 is: 8,602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,332.80 : 11,500 = 6,233.28 : x
  2. Step 2: Convert to fraction form
    8,332.80/11,500 = 6,233.28/x
  3. Step 3: Cross multiply
    8,332.80x = 11,500 × 6,233.28
  4. Step 4: Simplify right side
    8,332.80x = 71,682,720
  5. Step 5: Solve for x
    x = 71,682,720/8,332.80
  6. Step 6: Final answer
    x = 8,602.48

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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.