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Finding the Fourth Proportional to 7,836.03, 11,757.29 and 4,717.94

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Solution

The fourth proportional to 7,836.03, 11,757.29 and 4,717.94 is: 7,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.03 : 11,757.29 = 4,717.94 : x
  2. Step 2: Convert to fraction form
    7,836.03/11,757.29 = 4,717.94/x
  3. Step 3: Cross multiply
    7,836.03x = 11,757.29 × 4,717.94
  4. Step 4: Simplify right side
    7,836.03x = 55,470,106.41
  5. Step 5: Solve for x
    x = 55,470,106.41/7,836.03
  6. Step 6: Final answer
    x = 7,078.85

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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.