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Finding the Fourth Proportional to 11,582.33, 15,983.73 and 6,546.60

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Solution

The fourth proportional to 11,582.33, 15,983.73 and 6,546.60 is: 9,034.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582.33 : 15,983.73 = 6,546.60 : x
  2. Step 2: Convert to fraction form
    11,582.33/15,983.73 = 6,546.60/x
  3. Step 3: Cross multiply
    11,582.33x = 15,983.73 × 6,546.60
  4. Step 4: Simplify right side
    11,582.33x = 104,639,086.82
  5. Step 5: Solve for x
    x = 104,639,086.82/11,582.33
  6. Step 6: Final answer
    x = 9,034.38

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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.