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Finding the Fourth Proportional to 27,323.97, 40,982.54 and 7,604.07

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Solution

The fourth proportional to 27,323.97, 40,982.54 and 7,604.07 is: 11,405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,323.97 : 40,982.54 = 7,604.07 : x
  2. Step 2: Convert to fraction form
    27,323.97/40,982.54 = 7,604.07/x
  3. Step 3: Cross multiply
    27,323.97x = 40,982.54 × 7,604.07
  4. Step 4: Simplify right side
    27,323.97x = 311,634,102.94
  5. Step 5: Solve for x
    x = 311,634,102.94/27,323.97
  6. Step 6: Final answer
    x = 11,405.15

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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.