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Finding the Fourth Proportional to 8,098.10, 11,158.73 and 6,209.59

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Solution

The fourth proportional to 8,098.10, 11,158.73 and 6,209.59 is: 8,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.10 : 11,158.73 = 6,209.59 : x
  2. Step 2: Convert to fraction form
    8,098.10/11,158.73 = 6,209.59/x
  3. Step 3: Cross multiply
    8,098.10x = 11,158.73 × 6,209.59
  4. Step 4: Simplify right side
    8,098.10x = 69,291,051.38
  5. Step 5: Solve for x
    x = 69,291,051.38/8,098.10
  6. Step 6: Final answer
    x = 8,556.46

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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.