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Finding the Fourth Proportional to 27,803, 41,704.78 and 7,026.52

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Solution

The fourth proportional to 27,803, 41,704.78 and 7,026.52 is: 10,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803 : 41,704.78 = 7,026.52 : x
  2. Step 2: Convert to fraction form
    27,803/41,704.78 = 7,026.52/x
  3. Step 3: Cross multiply
    27,803x = 41,704.78 × 7,026.52
  4. Step 4: Simplify right side
    27,803x = 293,039,470.77
  5. Step 5: Solve for x
    x = 293,039,470.77/27,803
  6. Step 6: Final answer
    x = 10,539.85

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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.