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Finding the Fourth Proportional to 7,882.85, 11,823.03 and 4,722.05

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Solution

The fourth proportional to 7,882.85, 11,823.03 and 4,722.05 is: 7,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.85 : 11,823.03 = 4,722.05 : x
  2. Step 2: Convert to fraction form
    7,882.85/11,823.03 = 4,722.05/x
  3. Step 3: Cross multiply
    7,882.85x = 11,823.03 × 4,722.05
  4. Step 4: Simplify right side
    7,882.85x = 55,828,879.70
  5. Step 5: Solve for x
    x = 55,828,879.70/7,882.85
  6. Step 6: Final answer
    x = 7,082.33

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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.