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Finding the Fourth Proportional to 7,898.07, 11,849.16 and 2,633.88

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Solution

The fourth proportional to 7,898.07, 11,849.16 and 2,633.88 is: 3,951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.07 : 11,849.16 = 2,633.88 : x
  2. Step 2: Convert to fraction form
    7,898.07/11,849.16 = 2,633.88/x
  3. Step 3: Cross multiply
    7,898.07x = 11,849.16 × 2,633.88
  4. Step 4: Simplify right side
    7,898.07x = 31,209,265.54
  5. Step 5: Solve for x
    x = 31,209,265.54/7,898.07
  6. Step 6: Final answer
    x = 3,951.51

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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.