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Finding the Fourth Proportional to 8,166.34, 11,270.48 and 4,582.28

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Solution

The fourth proportional to 8,166.34, 11,270.48 and 4,582.28 is: 6,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.34 : 11,270.48 = 4,582.28 : x
  2. Step 2: Convert to fraction form
    8,166.34/11,270.48 = 4,582.28/x
  3. Step 3: Cross multiply
    8,166.34x = 11,270.48 × 4,582.28
  4. Step 4: Simplify right side
    8,166.34x = 51,644,495.09
  5. Step 5: Solve for x
    x = 51,644,495.09/8,166.34
  6. Step 6: Final answer
    x = 6,324.07

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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.