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Finding the Fourth Proportional to 27,053.92, 40,582.41 and 7,334.11

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Solution

The fourth proportional to 27,053.92, 40,582.41 and 7,334.11 is: 11,001.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,053.92 : 40,582.41 = 7,334.11 : x
  2. Step 2: Convert to fraction form
    27,053.92/40,582.41 = 7,334.11/x
  3. Step 3: Cross multiply
    27,053.92x = 40,582.41 × 7,334.11
  4. Step 4: Simplify right side
    27,053.92x = 297,635,859.01
  5. Step 5: Solve for x
    x = 297,635,859.01/27,053.92
  6. Step 6: Final answer
    x = 11,001.58

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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.