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Finding the Fourth Proportional to 8,233.39, 11,354.56 and 7,042.87

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Solution

The fourth proportional to 8,233.39, 11,354.56 and 7,042.87 is: 9,712.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.39 : 11,354.56 = 7,042.87 : x
  2. Step 2: Convert to fraction form
    8,233.39/11,354.56 = 7,042.87/x
  3. Step 3: Cross multiply
    8,233.39x = 11,354.56 × 7,042.87
  4. Step 4: Simplify right side
    8,233.39x = 79,968,689.99
  5. Step 5: Solve for x
    x = 79,968,689.99/8,233.39
  6. Step 6: Final answer
    x = 9,712.73

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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.