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Finding the Fourth Proportional to 8,098.99, 11,176.99 and 4,743.77

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Solution

The fourth proportional to 8,098.99, 11,176.99 and 4,743.77 is: 6,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.99 : 11,176.99 = 4,743.77 : x
  2. Step 2: Convert to fraction form
    8,098.99/11,176.99 = 4,743.77/x
  3. Step 3: Cross multiply
    8,098.99x = 11,176.99 × 4,743.77
  4. Step 4: Simplify right side
    8,098.99x = 53,021,002.11
  5. Step 5: Solve for x
    x = 53,021,002.11/8,098.99
  6. Step 6: Final answer
    x = 6,546.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.